At what rate is the tip of his shadow moving. 0 ft above the ground at the rate of 5.
At what rate is the tip of his shadow moving -1. A boy 4 ft tall walks away from the pole at a rate of 3 ft/sec. 15A man 1. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? Apr 25, 2010 · A street light is mounted at the top of a 5. we have been asked to find the rate at which the end of the shadow is moving away from the lamppost - that's dot y ! so similar triangles tells us that 6/y = 1. When he is 10 ft from the base of the light, a) at what rate is the tip of his shadow moving? b) at what rate is the length of his shadow moving? Question: A 6 foot tall student walks at a rate of 7 feet per second away from a light that is 15 feet above the ground (see figure). A 1. 4 8 12 16 20 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec A street light is mounted at the top of a 16ft pole. above the street; a. When he is $10$ feet from the base of the light, (a) at what rate is the tip of his shadow moving?. At what rate (in feet per second) is the distance between them changing after another A man 6 ft tall is walking at the rate of 3 ft/s toward a streetlight 18 ft high (see the accompanying figure). When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? Answer b. The calculations involved differentiating the height of the shadow with respect to time. `dx/dt` is the rate at which his shadow is shortening. A streetlight is on a pole 15 ft tall. At what rate is the length of his shadow changing? 4 A moving shadow: A man 6 feet tall walks at the rate of 5 ft/sec toward a streetlight that is 16 ft above the ground. 9 meters walks away from a 5-meter lamppost at a speed of 1. At what rate is the tip of his shadow moving? At what rate is his shadow lengthening? Evaluate : ∫ − 1 1 lo g (2 + x 2 − x ) d x If a + b + c = 0 and ∣ a ∣ = 3, ∣ b ∣ = 5, ∣ c ∣ = 7, then find the value of a ⋅ b + b ⋅ c May 18, 2021 · The tip of the man's shadow is moving down the wall at a rate of 15 24 ft/sec when he is 50 feet from the wall. A water tank has the shape ofan inverted right-circular cone, with radius at the top 15 meters and depth 12 meters. At what rate is . When he is 10 feet from the base of the light, A man 6 feet tall walks at a rate of 5 feet per second toward a light that is 20 feet above the ground. At what rate is his shadow lengthening when he is 20 ft from the pole? At what rate (in feet per second) is the tip of his shadow moving? 2. 12 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? Nov 10, 2020 · Ex 6. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? Sep 22, 2022 · When he is $10$ feet from the base of the light, at what rate is the tip of his shadow moving? When he is $10$ feet from the base of the light, at what rate is the length of his shadow changing? The purpose of this question is to find the rate of change of the length of the shadow given two different scenarios. At what rate is the tip of his shadow moving and at what rate is the length of the shadow changing when he is 3 1 3 m from the base of the light ? View Solution A man 2m tall, walks at the rate of 1 2 3 m / s e c towards a street light which is 5 1 3 m above the ground. B is the tip of the shadow and it is at a distance of x + y from the post. When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec Find step-by-step Business maths solutions and the answer to the textbook question A streetlight is on top of a $20$-foot pole. 2 = 10/7 x and now for the little bit of calculus, taking the deriv of each side When he is 10 10 10 feet from the base of the light, at what rate is the tip of his shadow moving? A man 6 ft tall is walking at the rate of 3 f t / s 3 \mathrm{ft} / \mathrm{s} 3 ft / s toward a streetlight 18 f t 18 \mathrm{ft} 18 ft high (see the accompanying figure). (b) Also, when the man is 10 feet from the base of the light: A man 6 feet tall walks at a rate of 10 feet per second away from a light that is 15 feet above the ground (see figure). cf2. 16 12 8 4 + + 16 20 4 12 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow Apr 8, 2012 · When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec b. At what rate is the tip of his shadow moving? At what rate is the length of his shadow changing when he is 10ft from the base of the light? A man 2 meters tall walks at the rate of 2 meters per second toward a streetlight that's 5 meters above the ground. When he is 10 feet from the base of the light a) what rate is the tip of his shadow moving? b) what rate is the length of his shadow changing I promise to rate answers as soon as possible. The light at the top of the lamppost (20 feet above the ground) is casting a shadow of the man. How fast is the top of the surface of the liquid rising? 3 The diameter and height of a paper cup in the shape of a cone are both 4 inches. When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? Select one: a. 2 meters per second away from a light that is 5 meters above the ground (see figure). com/se02f01033. At what rate is the tip of her shadow moving? Then `dy/dt = (3)/(4)` is the rate at which the man is moving towards the lamp post. 5 B. At what rate is the tip of his shadow moving? At what rate is his shadow shortening? A man 6 feet tall walks at the rate of 5 ft/sec toward a street light that is 16 feet above the ground. Use chain rule to get dy/dt d y / d t. 8m, is walking directly away from a lamp post at constant rate of 1. At what rate is his shadow lengthening when he is 30 ft from the pole? 68/13 X ft/sec At what rate (in feet per second) is the tip of his shadow moving? 17/13 X ft/sec Dec 5, 2023 · - The rate at which the tip of his shadow is moving can be found using similar triangles. At what rate is the tip of her shadow moving? At what rate is her shadow lengthening? Ex 6. At what rate is his shadow lengthening when he is 20 ft from the pole? At what rate (in feet per second) is the tip of his shadow moving? Apr 27, 2018 · Let at an instant the position of man NM is x m from the light post when the tip of his shadow T is y m from the post and length of his shadow is s m. Give your answer accurate to 3 decimal places. 6923 ft/sec. 2 m/s. At what rate is the tip of his shadow moving? At what rate is the length of his shadow changing when he is 10 ft from the base of the light? A man $$1. When he is 10 feet from the base of the light, (a) at what rate is the tip of his shadow moving? (b) at what rate is the length of his shadow changing? A streetlight is on a pole 15 ft tall. 16 12 8 4 8 12 16 20 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec Need Help? Shadow Length A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground see figure. When he is 13 feet from the base of the light at what rate is the tip of his shadow moving? o somethin o 0 0 o so leta 3 sec A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. At what rate is his shadow lengthening when he is 20 ft from the pole? At what rate (in feet per second) is the tip of his shadow moving? Nov 15, 2009 · The tip of his shadow is moving towards his feet at 1½ ft/sec. Find step-by-step Calculus solutions and your answer to the following textbook question: Shadow Length A man $6$ feet tall walks at a rate of $5$ feet per second away from a light that is $15$ feet above the ground. Differentiate the equation with respect to time, and plug in the dx/dt value, we find that the tip of the shadow is moving at a rate of 2 m/s. A man 6 feet tall walks at a rate of 8 feet per second away from a light that is 15 feet above the ground (see figure). When he is 10 feet from the base of the light, (a) at what rate is the tip of his shadow moving? Calculus Related Rates Problem: Lamp post casts a shadow of a man walking. Thus, the tip of her shadow is moving at a rate of 6 ft/sec. 17 A man 1. How fast is the tip of his shadow moving when he is 10m from the pole? note: visualise the shadow cast by the man as a horizontal line segment; the starting Question 1074690: A man 5 ft tall walks at a rate of 4 ft/sec directly away from a street light that is 20 ft above the street. A person who is $5$ feet tall walks away from the pole at the rate of $5$ feet per second. At what rate is the tip of his shadow moving when he is 10 feet from the base of the light? A man standing 9 feet from the base of a lamppost casts a shadow 6 feet long. The rate at which the tip off shadow is moving. A streetlight is on a pole 17 ft tall. At what rate (in feet per second) is the tip of his shadow moving? ft/sec. Given that man is walking towards the light post at the rate 2m"/"s, we have (dx)/(dt)=2m"/min" Here height of the man MN=1. a) At what rate is the tip of his shadow moving? b) At what rate is the length of his shadow changing? Answer by Alan3354(69443) (Show Source): A man, 2m tall, walks at the rate of 5/3 m/s towards a street light which is 16/3 m above the ground. When he is 10 feet from the base of the light? a)At what rate is the length of his shadow changing? b)At what rate is the tip of his shadow moving? A moving shadow A man 6 FT tall walks at the rate of 5ft/sec toward a streetlight that is 16ft above the ground. 4m pole. dy/dt=5/3dx/dt you know dx/dt=4(ft)/s because 12. How fast is the tip of his shadow moving when he is 40 feet from the pole? 2 A liquid is flowing into a vertical cylindrical tank of radius 6 ft. Find the rate at which (i) his shadow is shortening (ii) the tip of shadow is moving. When he is 10 feet from the base of the light, 1. Let's use similar triangles to solve this This video show how to find the rate of change of the tip of a shadow from a light post. A boy 5 ft tall walks away from the pole at a rate of 5 ft/sec. A man 5. Also note: This is a related rate problem, not an optimization one. Dec 22, 2017 · 20/3 (ft)/s in this diagram, x is the distance from the man to the pole, and y is the distance from the tip of the man's shadow to the pole. At what rate is his shadow lengthening when he is 25 ft from the pole? _____ ft/sec. But his feet are moving at 3 ft/sec. (Hint: \frac{dx}{dt} + \frac{dy}{dt} = 2 \fr May 22, 2011 · hi guys can you please help me with this problem: A street light is mounted at the top of a 15ft-tall pole. 00 ft tall approaches a street light 16. 2. Also find the rate at which the tip of the shadow is moving away from the lamp post. 8 meters tall walks at the rate of 1 meter per second toward a streetlight that is 4 meters above the ground. 3 m/sec away from a street light that is 4 m above the ground. From the figure, `x/(1. This was determined by analyzing the similar triangles formed by the lamp, the wall, and the man. directly away from a street light which is 20 ft. 5 + 2. At what rate is the tip of her shadow Dec 11, 2023 · A man 1. 07 feet per second. 12- 16 20 Ⓡ (a) When he is 10 feet from the base of the light, at what rate in (ft/s) is the tip of his shadow moving? ft/s (b) When he is 10 feet from the base of the light, at what rate (in ft/s) is Question: Give your answer accurate to 3 decimal places. ft/sec Ob. Oct 8, 2024 · Find step-by-step Calculus solutions and the answer to the textbook question A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. when he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? 35) A man 6 ft tall walks at a rate of 5 ft/sec away from a light that is 15 ft above the ground. At what rate is the tip of the person’s shadow moving away from the pole when he is $20$ feet from the pole?. At what rate is the tip of his shadow moving? At what rate is his shadow lengthening? A man 6 feet tall walks at a rate of 2 feet per second away from a light that is 15 feet above the ground (see figure). When he is 3 meters from the base of the light, find the rate that the tip of his shadow is A moving shadow A man 6 FT tall walks at the rate of 5ft/sec toward a streetlight that is 16ft above the ground. At what rate is his shadow lengthening when he is 25 ft from the pole?At what rate (in feet per second) is the tip of his shadow moving? A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground (see figure). A man 1. Height of light = 15 ft . When he is $10$ feet from the base of the light, \ At what rate is the tip of his shadow moving?. r79. When he is 10 feet from the base of the light, at Oct 27, 2023 · The tip of the man's shadow is moving at a rate of -3/7 ft/s when he is 35 ft from the pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along a straight path. We are given; Height of man = 6 ft . Question: Shadow Length A man 6 feet tall walks at a rate of 2 feet per second away from a light that is 15 feet above the ground (see figure). B) When the man is 10 ft from the base of the light, at what rate is the length of his shadow changing is; d(BD)/dt = 4 ft/s. You really need a picture here: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. zft/sec oc. At what rate is his shadow lengthening when he is 20 ft from the pole? At what rate (in feet per second) is the tip of his shadow moving? Find step-by-step Calculus solutions and your answer to the following textbook question: ***Shadow Length*** A man $6$ feet tall walks at a rate of $5$ feet per second away from a light that is $15$ feet above the ground (see figure). (a) At what rate is his shadow length changing? (b) How fast is the tip of his shadow moving? Figure Ex-32 Dec 24, 2020 · When he is 10 feet from the base of the light, (a) at what rate is the tip of his shadow moving? (b) at what rate is the length of his shadow changing? A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground (see figure). 5 C -3. 5 ft/sec away from a streetlight that is 12 ft above the ground. 2. How fast is the tip of his shadow moving when he is 43 ft from the pole? Hint: Draw a picture. At what rate is his shadow lengthening when he is 30 ft from the pole? ____ ft/sec. A boy 5 ft tall walks away from the pole at a rate of 3 ft/sec. I let x be the length of shadow, y be the distance between man and pole. 000 feet from the pole? So, Dx/Dt=3. 4. Find the rate at which the length of his shadow increases. At what rate is the tip of his shadow moving? At what rate is the length of his shadow changing when he is 10ft from the base of the light? May 23, 2023 · The tip of the shadow is then moving away from the pole at a rate of 3. Sep 7, 2021 · Show all steps Answer 12. A man 6 feet tall walks at a rate of 7 feet per second away from a light that is 15 feet above the ground (see figure). 0 ft/sec. 16 12 8 12 16 20 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? 31/3 X ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? At what rate is the tip of his shadow moving when he is 10 feet from the base of the light? A man 1 meter tall walks at a rate of 1- meter per second away from a light that is 2 meters above the ground. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving?ftsec(b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing?ftsec Give your answer accurate to 3 decimal places. 0-meter lamp post at the rate of 1. At what rate (in feet per second) is the tip of his shadow moving? _____ ft/sec Oct 17, 2022 · Since the man is walking towards the street light, the shadow is getting shorter. How fast is the tip of his shadow moving when he is 40ft from the pole? is this picture I made the Find step-by-step Calculus solutions and your answer to the following textbook question: A man 6 ft tall is walking at the rate of $3 \mathrm{ft} / \mathrm{s}$ toward a streetlight $18 \mathrm{ft}$ high (see the accompanying figure). A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. A man of height 1. When he 10 feet fromthe base of the light, a) At what rate is the tip of his shadow moving?50/3 b) At what rae is the length of his shadow changing?35/3 6/20 = Y/(X+Y) 6X + 6Y = 20Y 6X = 20Y - 6Y X = 7/3Y Apr 25, 2019 · This shows that the shadow lengthens at 3/2 the rate of the walker and is independent of his position. Question : A man 1. At what rate is his shadow lengthening when he is 30 ft from the pole? ft/sec At what rate (in feet per second) is the tip of his shadow moving? ft/sec Your answer is incorrect. We know that dtdx=−2 meters per second, and we're looking for dtdy. The rate at which his shadow is lengthening is 0. png A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. When he is 10 feet from the base of the light, a at what rate is the tip of his shadow moving? b at what rate is the length of his shadow changing? 34. 8$$ meters high walks away from a lamp post at a rate of $$1. by similarity, (y-x)/y=6/15 15(y-x)=6y 15y-15x=6y 9y=15x y=5/3x differentiate both sides with respect to t or time. By simple geometry Delta TMNand Delta TLO are similar So by the property of similar A boy 5 feet tall walks at the rate of 4 ft/s directly away from a street light which is 20 feet above the street. At what rate is the tip of his shadow moving? We've already set this up part of the way. A man whose height is 1. Speed of tip of shadow: ft per second Oct 26, 2016 · a man 6 feet tall walks at a rate of 5 ft / sec away from a light that is 15 feet above the ground. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? Oct 11, 2022 · A streetlight is on a pole 15 ft tall. We need to find the rate at which the tip of his shadow is moving when he is 10 ft 10 \text{ ft} 10 ft away from the base of the lamp. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the ground (see figure) 16 12 4 8 12 16 20 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec Nov 8, 2022 · a man 6ft tall is walking at the rate of 5 ft/sec towards a street light that is 16 ft above the ground, what is the rate of the tip of his shadow Community Answer A woman 5. How fast is the tip of his shadow moving when he is 30 ft f; A man 6 feet tall walks at a rate of 5 feet per second towards a light that is 20 feet above the ground. How fast is the tip of his shadow moving when he is 40 feet from the pole? A man 6 feet tall walks at a rate of 5 feet per second towards a light that is 20 feet above the ground. 2 4 5 6 7 (a) When he is 3 A man 6 feet tall walks at a rate of 5 feet per second away from a llght that is 15 feet above the ground (see figure). 5) = (x + y)/(4. At what rate is his shadow lengthening when he is 25 ft from the pole? At what rate (in feet per second) is the tip of his shadow moving? Question: 4. A man 5 ft. When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? b. To get the rate that the tip of the shadow is moving or the related rate d b / d t db/dt d b / d t, we need to find first the distance b b b from the shadow to the pole. For (b) the rate at which the length of his shadow is changing is 5 feet per second as the shadow lengthens at the same rate the man walks. Let A man 6 ft tall walks at the rate of 5 ft/sec toward a street light that is16 ft above the ground. At what rate is the tip of his shadow moving when he is 10 feet from the base of the light? A man 6 feet tall walks at a rate of 5 feet per second toward a light that is 20 feet above the ground. When he is 10 feet from the base of the light, at what rate is the length of his shadow Question: Shadow Length A man 6 feet tall walks at a rate of 4 feet per second away from a light that is 15 feet above the ground (see figure). A man of height 2 metres walks at a uniform speed of 6 k m / h away from a lamp post which is 6 meters high. At what rate is the tip of her shadow moving and at what rate is her shadow lengthen; A woman 5 ft tall walks at the rate of 3. At what rate is the tip of her shadow moving? A woman 5 ft tall walks at a rate of 5. we know that dot x = 1. At what rate is the tip of his shadow moving and A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. 5 ft walks at a rate of 6 ft/sec towards a street light that is 22 ft above the ground. How fast is the tip of his shadow moving when he is 40 ft from the pole? The answer is 25/3. 5m/s toward a streetlight which is 5m above the level ground. When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? A man 6 feet tall is walking toward a lamppost 20 feet high at a rate of 5 feet per second. (a) When the student is 10 feet from the base of the light, at what rate (in ft/sec) is the tip of their shadow moving? ft/sec (b) When the student is 10 feet from the base of the light, at what rate (in ft/sec ) is the length of their Exercise 5. Your overall recorded score is 0% You have 4 attempts remaining Bage generated at 04/04. A man 5ft tall walks away from the pole at a rate of 4ft per second. How fast is the tip of his shadow moving when he is 10 m from the pole? calculus A 6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3 ft/sec. So, relative to world, the tip of his shadow is moving at 4½ ft/sec. A boy 4 ft tall walks away from the pole at a rate of 4 ft/sec. 7 m/s. A man , 2 m tall, walks at the rate of 1 2 3 m/s towards a street light which is 5 1 3 m above the ground. At what rate is the tip of his shadow moving and at what rate is the length of the shadow changing when he is 3 1 3 m from the base of the light? A moving shadow A man 6 FT tall walks at the rate of 5ft/sec toward a streetlight that is 16ft above the ground. (25 points) A man 6 ft tall walks at a rate of 5 feet per second away from a light that is 15 ft above the ground. Nov 25, 2022 · A man 1. Sep 18, 2020 · Given: A 2 m tall man walks at the rate of 1 2/3 m/s towards a 5 1/3 m tall street light. Nov 12, 2019 · A) When the man is 10 ft from the base of the light, the rate at which the tip of his shadow is moving is; dy/dt = 10 ft/s . At what rate (in feet per second) is the tip of his shadow moving? _____ ft/sec. When he is 10 feet from the base of the light, (a) at what rate is the tip of his shadow moving? (b) at what rate is the length of his shadow changing? Answer key with visual http://c782279. 47 m/s X A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. Claire starts at point A and runs east at a rate of 11 ft/sec. How fast is the “head” of his shadow moving along the ground? a) we have to find the rate at which the tip of his shadow is moving when he is 10 feet from the base of the light. Speed of tip of shadow: ft per second You have attempted this problem 2 times. 5 feet per second. If the lamp is 12 m above the ground, find the rate at which the tip of his shadow is moving. -5 8. One minute later, Anna starts at A and runs north at a rate of 9 ft/sec. A water tank has the shape of an inverted right-circular cone, with radius at the top 15 meters and depth 12 meters. -1 D. 5 X у How fast is the tip of his shadow moving? Use 3 decimal places and correct units. 6 m/sec. The light at the top of the post casts a shadow in front of the man. A man is walking at the rate of 1. Rate of walk by man; dx/dt = 6 ft/s Question: 1. 5$$ meters, find: the rate at which the length of his shadow increases. 8/(y - x) y = (6x)/4. How fast is the tip of his shadow moving ?. tall walks at the rate of 4 ft/sec. Sep 2, 2015 · A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground. 14A woman 5 ft tall walks at the rate of 3. 3. The rate at which the tip of the shadow is moving can be found using the derivative of the shadow length equation. By using ratio of similar triangles , 15/y = 6/(y - x) Dec 13, 2024 · A man 1. at what rate is the tip of his shadow moving? at what rate is his shadow lengthening? Step-by-step explanation: Oct 17, 2017 · To find the rate at which the tip of her shadow is moving, we recall that the tip of her shadow is the sum of the distance from the streetlight plus the length of her shadow: d t d (x + s) = d t d x + d t d s Substituting the rates we found: d t d (x + s) = 3. Shadow Length A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground (see figure). Apr 6, 2009 · That is the rate the tip of his shadow is moving Note; The measurement 40 ft given in this problem is a "red herring" since the distance from the base of the light does not affect ds/dt. If the height of lamp post is $$4. 0 ft from the base of the light? Question: A street light is mounted at the top of a 15-ft-tall pole. A ladder 10 metres long is leaning against a vertical wall. At what rate is his shadow lengthening when he is 20 ft from the pole? ft/sec At what rate (in feet per second) is the tip of his shadow moving? ft/sec 2. Calculate dy/dx d y / d x. At what rate is the tip of his shadow moving? At what rate is the length of his shadow changing when he is 10 ft from the base of the light? Dec 14, 2022 · The rate at which the tip of his shadow is moving is 0. (a) At what rate is the tip of his shadow changing? (b) At what rate is the length of his shadow changing? SOLUTION: 20 ft 5 ft The setup for this problem is similar triangles. (-/10 Points] DETAILS MY NO Give your answer accurate to 3 decimal places. Dec 24, 2020 · When he is 10 feet from the base of the light, (a) at what rate is the tip of his shadow moving? (b) at what rate is the length of his shadow changing? A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the ground (see figure). How fast is the tip of his shadow moving on the ground when he is 50; A man 6 ft tall walks at the rate of 5 ft/sec toward a streetlight that is 16 ft above the ground. Can we notice what shape is shown by Figure 1 1 1? We can see that two right triangles: X Y Z \triangle XYZ X Y Z and X U V \triangle XUV X U V are formed in Figure 1 1 1. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above ground. A boy 4 ft tall walks away from the pole at a rate of 5 ft/sec. Water is flowing into the tank at the rate of 2 cubic meters per minute. 00 ft/s . Explanation: To find the speed at which the tip of the man's shadow is moving, we need to determine the rate at which the length of the shadow is changing relative to the distance between the man and the pole. 86 m/s the point of what follows and the choice of variables in the drawing is this. ft/sec At what rate is the tip of his shadow moving when he is 10 feet from the base of the light? A man 5. - At this point, the rate at which the tip of his shadow is moving is 7. At what rate is the tip of his shadow moving when he is 10 feet from the base of the light? 1. 5 meters walks towards a lamp post of height 4. 12 8 12 16 20 a. (a) At what rate is his shadow length changing? (b) How fast is the tip of his shadow moving? Figure Ex-32 a) At what rate is the tip of his shadow moving? b) At what rate is the length of his shadow changing when he is 10 feet from the base of the light? 10. 160 12 4 8 12 16 20 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec Need Help? A man 6 feet tall walks at rate of 5 feet per second away from a light that is 15 feet above the ground (see figure). at a rate of 8 ft3 /min. A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the ground (see figure). When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? A man 6 feet tall walks at a rate of 5 ft/sec away from a light that is 15 feet above the ground. Water is flowing into the tank at the rate of2 cubic meters per minute. At what rate is the tip of his shadow moving? At what rate is the length of the shadow changing when he is `3 1/3`m from the base of the light? A man 6 feet tall walks at a rate of 8 feet per second away from a light that is 15 feet above the ground (see figure) 16 12 4 8 12 16 20 (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec A man 6 feet tall walks at a rate of 5ft per second away from a light that is 15 feet above the ground. 7m and height of the light LO=10m. A woman 5 ft tall walks at the rate of 4. a. Plug in the values for dx/dt and dy/dt from steps 4 and 10: Total rate = -3 + (-54/(x+y) / (6/y + 18/(x+y))) This equation gives the rate at which the shadow length is changing (dy/dt) and the rate at which the tip of the shadow is moving (total rate) as functions of the distance between the man and the streetlight (x) and the shadow length (y). Question: Give your answer accurate to 3 decimal places. Claire starts at point A and runs east at a rate of 12 ft/sec. ∴ `d/dt(x + y) = dx/dt + dy/dt` is the rate at which the tip of the shadow is moving. a) At what rate is the tip ofhis shadow moving? b) At what rate is the length ofhis shadow changing when he is 10 feet from the base ofthe light? 10. 1630 (w) When he is 10 feet from the base of the light, at what rate in (ft/s) is the tip of his shadow moving? When he is 10 10 10 feet from the base of the light, at what rate is the tip of his shadow moving? Shadow Length A man 6 6 6 feet tall walks at a rate of 5 5 5 feet per second away from a light that is 15 15 15 feet above the ground. A man 6ft tall walks away from the pole with a speed of 5ft/s along a straight path. To find: the rate at which the tip of the shadow is moving and also to find the rate at which the length of the shadow changing when he is 3 1/3 m from the base of the light. 5)` At what rate is the tip of his shadow moving? At what rate is the length of his shadow changing when he is 10 ft from the base of the light? A man 1 meter tall walks at a rate of 1- meter per second away from a light that is 2 meters above the ground. A streetlight is on a pole 15 ft tall. 0 ft above the ground at the rate of 5. 3 m/sec. At what rate is his shadow lengthening when he is 25 ft from the pole? _____ft/sec At what rate (in feet per second) is the tip of his shadow moving? _____ft/sec Question: at 32. To find the rate at which the shadow length is changing, we can again use similar triangles. 2$$ meters per second. 5, not sure where to go from there. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? A man 1. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? A streetlight is on a pole 14 ft tall. 3 m / sec away from a street light that is 4 m above the ground. A man 6 ft tall is walking at the rate of 3 ft/s toward a Streetlight 18 ft high (see the accompanying figure). 6 m tall walks at the rate of 0. A man 6 ft tall walks away from the pole with a speed of 5 ft!s along a straight path. 5 = 6. At what rate is the tip of his shadow moving? Question: A man 2 meters tall walks at a rate of 1. At what rate is the tip of his shadow moving? At what rate is the length of the shadow changing when he is 10/3 m from the base of the light? A man 6 ft tall is walking at the rate of 3 ft/s toward a streetlight 18 ft high (see the accompanying figure). At what rate is the tip of his shadow changing? b. To find the rate at which the tip of his shadow moves, we can use similar triangles to set up the relation: 5/(2+x) = 5/2, where x is the length of the shadow. 3. At what rate is the end of the man's shadow moving when he is 12. Given that information, find the following: At what rate is the tip of his shadow moving? At what rate is the length of his shadow changing when he is 10 feet from the base of the light? A streetlight is on a pole 15 ft tall. Find the rate at which the length of the shadow is increasing. 5 meters, at the rate of `(3/4)` meter/sec. rackcdn. At what rate is the tip of his shadow moving? At what rate is his shadow lengthening? Sep 28, 2020 · For (a) the rate at which the tip of his shadow is moving is approximately 7. Question: Pb7. of 5 ft/sec along a straight path. I did 6/15=x/(x y) then A man 6 feet tall walks at a rate of 5 feet persecond towards a light that is 20 feet above the ground. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? A man 6 feet tall walks at a rate of 2 feet per second away from a light that is 15 feet above the ground. (a) When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? ft/sec (b) When he is 10 feet from the base of the light, at what rate is the length of his shadow changing? ft/sec A man, 2m tall, walks at the rate of `1 2/3` m/s towards a street light which is `5 1/3`m above the ground. oft/sec od aft/sec He's moving at the rate d x d t = 5 ft/s \dfrac{dx}{dt} = 5\text{ ft/s} d t d x = 5 ft/s. 5 ft per second away from a streetlight that is 10 ft above the ground. 5 ft/sec away from a streetlight that is 16 ft above the ground. When he is 3 meters from the base of the light, find the rate that the tip of his shadow is moving. At what rate is his shadow lengthening when he is 30 ft from the pole? 1. The tip of the shadow is at the end of the base x + y. 7023 at 10 Jul 3, 2016 · = 13/7 m/s approx 1. How fast is the tip of his shadow moving when he is 50. A streetlight is on a pole 16 ft tall. A streetlight is on a pole 14 ft tall. At what rate is the tip of his shadow moving? A woman 5 ft tall walks at the rate of 3. 6 X ft/sec At what rate (in feet per second) is the tip of his shadow moving? 16/11 X ft/sec Show transcribed image text There are 4 steps to solve this one. At what rate is the tip of his shadow moving and at what rate is the length of the shadow changing when he is 3 1 3 m from the base of the light? A streetlight is on a pole 16 ft tall. How fast is the tip of his shadow moving when he is 37ft from the pole? Hint Draw a picture. At what rate is the tip of her shadow Question: Shadow Length A man 6 feet tall walks at a rate of 2 feet per second away from a light that is 15 feet above the ground (see figure). At what rate (m/s) is the tip of his shadow moving if the man is 2m tall? A. (a) At what rate is his shadow length changing? (b) How fast is the tip of his shadow moving? (FIGURE CAN'T COPY) A man 6 feet tall walks at a rate of 7 feet per second away from a light that is 15 feet above the ground (see figure). 165 12 8 4 + 16 20 8 12 (a) When he is 10 feet from the base of the light, at what rate in (ft/s) is the tip of his shadow moving? 10/3 ft/s (b) When he is 10 feet from the base of the light, at what A streetlight is on a pole 17 ft tall. 8m tall walks away form the light in a straight path at a speed of 1m/s. a At what rate is the tip of his shadow moving? b At what rate is the length of his shadow changing when he is 10 ft from the base of the light? Ans: a 8 ft/sec decreasing b 3 ft/sec decreasing Question: 3. A man 6 ft tall walks away from the pole at a rate of 4 ft per second. Let y(x) y (x) be the position of the tip of the shadow given the man's position x x (this requires some geometry work). 5 m/s. i assume the man and pole are standing straight up, which means the 2 triangles are similar. 8-meter tall man walks away from a 6. when he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? Oct 26, 2016 · a man 6 feet tall walks at a rate of 5 ft / sec away from a light that is 15 feet above the ground. When he is 10 feet from the base of the light, at what rate is the tip of his shadow moving? Question: Give your answer accurate to 3 decimal places. And d(x+y)/dt = dx/dt + dy/dt --this shows that the tip of the shadow moves at a constant rate = 6 + 4 = 10 ft/sec A man 6 feet tall walks at a rate of 7 feet per second away from a light that is 15 feet above the ground (see figure). At what rate is the tip of his shadow moving? At what rate is the length of his shadow changing when he is 10ft from the base of the light? Apr 8, 2012 · A man 6 feet tall walks at a rate of 4 feet per second away from a light that is 15 feet above the ground (see figure). 1. bexrbzavrtaytvbwngokkbptwrluycpdrxfosaiwvblkfloz