How fast is the length of her shadow increasing. edu O ce Hours: Wednesdays 1:30-2:30PM, South Hall 6431X 3.

How fast is the length of her shadow increasing. (1 point) A street light is at the top of a 14 ft tall pole. ft sec Question: (1 point) A spotlight on the ground is shining on a wall 16m away. how fast is the tip of her shadow moving along the ground when she is 45 ft from the base of the pole? ft/sec how fast is the length of her shadow increasing? ft/sec A spotlight on the ground shines on a building $12m$ away. θ = 65 o. 6 m/s, how fast is the length of her shadow on the building d; A spotlight on the ground is shining on a wall 24m away. 30y-6y=6x :. So initially, we have L = 12 ft, h = 6 ft, and the woman is moving with a speed of 5 ft/sec (dx/dt). How fast is the length of her shadow increasing when she is 45ft from the base of the pole? Note: How fast the length of her shadow is changing IS NOT the same as how fast the tip of her shadow is moving away from the Calculus questions and answers. 7 meters walk away from a 5-meter lamppost at a speed of 2. 144) => h = 30. How fast is the tip of her shadow moving along the ground when she is 30 ft from the base of the pole? ft/secHow fast is the length of her shadow increasing? ft/sec If a woman 2-m tall walks from the spotlight toward the building at a speed of 0. 8m walks away from a 5 m lamppost at a speed of 1. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole? How fast is the length of her shadow increasing? A woman 6ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. How fast is the tip of her shadow moving (away from the woman) when she is 30 feet from the base of the pole? Find the rate at which his shadow is increasing in length. How fast is the tip of her shadow moving along the ground when she is 30 ft from the base of the pole? ft/secHow fast is the length of her shadow increasing? ft/sec Nov 2, 2016 · 2. A woman, 6 ft tall, walks away from the pole with a speed of 5 ft/sec along a straight path. Find the rate at which his shadow is increasing in length. As Bob walks away from the lamp post at a rate of 2 m/s, how fast is the length of his shadow increasing? Let \(x\) be the distance from Bob to the lamp post and \(s\) be the length of his shadow, both in meters. Upvote • 1 Downvote Solution. Sep 28, 2018 · A street light is at the top of a 19 ft tall pole. A person who is 5 feet tall is currently 50 feet from the lamppost and walking away from the lamppost at a rate of 4ft/sec. 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. We will say her head is at position H(a,6). This implies d' = x'/2 for this specific case so d' = 3 ft/s = the speed of the shadow. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole? 10. How fast is the tip of her shadow moving when she is 45 ft from the base of the pole? ft sec Week 10 MATH 34A TA: Jerry Luo jerryluo8@math. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole? Question: A street light is at the top of a 15 ft tall pole. 75Δ x Δ x = 0. ucsb. Solve for d and you get d = x/2. 01 m. 5 ft/sec How fast is the length of her shadow increasing? ft/sec A woman 6ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. 2ft. 0-meter lamp post at the rate of 1. Nov 21, 2014 · dx/dt = 36/13 ft/sec = 2. 3 ft. ft sec How quickly is the length of her shadow increasing when she is 6 feet away from the lamppost (rounded to the nearest tenth of a foot per second)? O A. 00:01 In this question, we are told that the street light is at the top of a 12 foot ball and the woman, a 6 foot tall woman walks away from the pole at the rate of 8 feet per second, and we are asked to determine the length the rate of change of the length of her shadow at the moment she is 30 feet away from the pole, so let x be the distance between the woman and the street light, and why be Question: (1 point) A street light is at the top of a 14 ft tall pole. Write an equation relating \(x\) and \(s\). How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole? B) How fast is the length of her shadow increasing? Mar 28, 2023 · A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. Mar 8, 2023 · A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 5 ft/sec along a straight path. Find the angle of elevation if the object has a height of 4 m and the How fast is the length of her shadow increasing when she is 30 ft from the base of the pole? A street light is at the top of a 19 ft tall pole. ft sec Δ x = 2Δ s Δ s = 2Δ x Δ x = Δ s Δ s = 0. a street light is at the top of a 16 ft tall pole. 77 ft/sec. How fast is the tip of her shadow moving along the ground when she is 45 ft from the base of the pole? ft/sec How fast is the length of her shadow increasing? ft/sec (1 point) Suppose Sep 28, 2018 · A street light is at the top of a 19 ft tall pole. Using the formula for shadow length, we have. Suppose the of the shadow MS = s (shown in the below figure) Given as the man walks at the speed of 2m/sec Oct 25, 2022 · A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. d(BD How fast is the length of her shadow moving when; A street light is at the top of a 17-foot tall pole. Nov 4, 2016. 5 ft/sec How fast is the length of her shadow increasing Since it's similar triangles call x the distance from the light to the woman and d the distance from the woman to the tip of her shadow. How fast is the length of her shadow increasing when she is 30 ft from the base of the pole? Note: How fast the length of her shadow is changing IS NOT the same as how fast the tip of her shadow is moving away from the street light. A′(t) = 4. Apr 2, 2021 · Question state is : "A person 6 ft tall walks at 5 ft/s along one edge of a road 30 ft wide. To determine how fast the length of her shadow is changing, we can use similar triangles. A woman 6 ft tall walks away from the pole with a speed of 7 ft/sec along a straight path. 4 3 ft/s. i assume the man and pole are standing straight up, which means the 2 triangles are similar. She walks at a constant rate of 2 feet per second and notices that, as she moves away from the lamppost, the length of her shadow is increasing. Explanation: Let A(t) be Anna position over time and Sl(t) the lenght of Anna shadow over time. How fast is the “head” of his shadow moving along the ground? May 23, 2024 · Find the height of an object if the shadow length is 14 m and the angle of elevation is 65 o. A | Chegg. Suppose AL = l meter and MS be the shadow of the man. ft sec Week 10 MATH 34A TA: Jerry Luo jerryluo8@math. 6m/s$, how fast is the length of his shadow on the building decreasing when he is $4m$ from the building? Sep 30, 2023 · A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. ft sec Oct 26, 2020 · a street light is at the top of a 14 ft tall pole. At what rate, in km/min is the distance from the plane to the radar station increasing 5 minutes later? Feb 19, 2020 · Let's denote the height of the street light as L, the height of the woman as h, her distance from the pole as x, and the length of her shadow as y. How fast is the tip of her shadow moving along the ground when she is 35 ft from the base of the pole? ft/sec How fast is the length of her shadow increasing? ft/sec May 24, 2023 · The length of the woman's shadow is increasing at a rate of 2 ft/sec when she is 30 ft from the base of the pole. Length of shadow, BD = y - x. Jul 11, 2023 · The rate at which the length of her shadow is increasing when she is 30 ft from the base of the pole is 95/6 ft/sec. How fast is the tip of her shadow moving when she is 35 ft from the base of the pole? Preview ft/sec A spotlight on the ground is shining on a wall 16m away. A 1. 30y=6(x+y) :. 8-meter tall man walks away from a 6. how fast is the tip of her shadow moving along the ground when she is 45 ft from the base of the pole? ft/sec how fast is the length of her shadow increasing? ft/sec Question: (6 points) A street light is at the top of a 20 ft tall pole. how fast is the tip of her shadow moving along the ground when she is 45 ft from the base of the pole? ft/sec how fast is the length of her shadow increasing? ft/sec Oct 5, 2023 · A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. 6m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building? Answer (in meters per second): Question: A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the length of her shadow increasing in feet per second when she is 20 feet from the post? Lamp post casts a shadow of a man walking. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. An automobile travels past the farmhouse at a speed of 80 km/h. Nov 4, 2016 · How fast is the length of her shadow changing? Calculus Applications of Derivatives Using Implicit Differentiation to Solve Related Rates Problems. And the follow up: Find how rapidly the length of the girl's shadow is increasing at each of the stated moments. A woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. find the rate at which his shadow is increasing in length A) A street light is at the top of a 11 ft tall pole. How fast is the length of her shadow increasing when she is 30 ft from the base of the pole? a street light is at the top of a 16 ft tall pole. Rate of change of shadow is calculated by differentiating length with respect to time. Jun 20, 2023 · Find how rapidly the tip of her shadow is moving when she is (a) 20 ft past the street light, and (b) 50 ft past the street light. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. A street light is at the top of a 17 ft tall pole. Using the chain rule, dh/dt Math; Advanced Math; Advanced Math questions and answers; A streetlight is 20 feet above the ground. If a woman 2m tall walks from the spotlight toward the building at a speed of 0. Given: - Height of the pole (h): 17 ft - Height of the woman (w): 6 ft - Distance from the base of the pole to the woman (x): 40 ft - Rate at which the woman is walking (dx/dt): 4 ft/sec From the similar triangles, we found that y = 6x/11, where y is the distance of the tip of the shadow from the A street light is at the top of a 19 ft tall pole. If a man $2m$ tall walks from the spotlight towards the building at a speed of $1. Alberto P. A man of height 1. 1. How fast is the length of her shadow increasing in feet per second when she is 20 feet from the post? Answer: 10/7 ft /sec Aug 14, 2023 · A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. 2. b) we have to find the rate at which the length of his shadow is changing when he is 10 feet from the base of the light. Step 1/2 Calculate the rate at which the tip of the woman's shadow is moving along the ground. 4. Find dt 2. How fast is the tip of her shadow moving along the ground when she is 45 ft from the base of the pole? ft/sec How fast is the length of her shadow increasing? ft/sec A young girl, 5 feet tall, is walking away from a lamppost which is 12 feet tall. 5 ms Let x be the distance from Bob to the lamp post and s be the length of his shadow, both in meters. sec O E. 8m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building? Answer (in meters per second): A street light is at the top of a 10 ft tall pole. The light at the top of the post casts a shadow in front of the man. Oct 20, 2023 · A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. walks from the spotlight to the wall at a speed of 1. how fast is the tip of her shadow moving along the ground when she is 45 ft from the base of the pole? ft/sec how fast is the length of her shadow increasing? ft/sec A young girl, 5 feet tall, is walking away from a lamppost which is 12 feet tall. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole? How fast is the length of her shadow increasing? Mar 3, 2020 · As to find the rate at which the length of his shadow increases when he is 3m away from the pole. We can find how fast the shadow is moving by taking the derivative of the hypotenuse with respect to time (t). y=1/4x Now, l=x+y => l=x+1/4x :. Solution: We have, s = 14. 5 feet/sec Let the man be x feet away from the street light, and his shadow length be y, Let the tip of the shadow be l feet away from the light such that l=x+y and we are given that dx/dt=2 By similar triangles: y/6=(x+y)/30 :. edu O ce Hours: Wednesdays 1:30-2:30PM, South Hall 6431X 3. 8m. On the other edge of the road is a light atop a pole 18 ft high. How fast is the distance between the automobile and the. (1 point) A street light is at the top of a 10 ft tall pole. How fast is the length of her shadow increasing when she is 45ft from the base of the pole? Note: How fast the length of her shadow is changing IS NOT the same as how fast the tip of her shadow is moving away from the Nov 21, 2014 · We can say the woman is walking along the x-axis and her feet are at some position A(a,0) on the x axis and the tip of her shadow is at some position B(b,0) on the x axis. 24y=6x :. Let's denote the length of the woman's shadow as x and the distance between the woman and the base of the pole as y. How fast is the tip of her shadow moving when she is 45 ft from the base of the pole? Note: You should draw a picture of a right triangle with the vertical side representing the pole, and the other end of the hypotenuse representing the tip of the woman's shadow. A 6-foot tall woman walks away from the pole with a speed of 7 ft/sec along a straight path. 75 m / s 1. 5 m/s. 5 ft. d(BD)/dt = dy/dt - dx/dt. 1 Answer. 6m/s, how fast is the length of her shadow on the building decr Sep 22, 2023 · In this triangle, the length of the pole is 14 ft, and the length of the woman is 6 ft. 75Δ s Ass Bob walks away from the lamp post at a rate of 2 m / s, how fast is the length of his shadow increasing? Im/s 0. A 6 ft tall man walks away from a 45 ft tall street light at 2 ft/sec. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. Problem 6. s = h/tan θ => 14 = h/tan 65o => h = 14 tan 65o => h = 14 (2. Suppose AB be the lamp post and let MN be the man of height 180cm or 1. How fast is the tip of her shadow moving when she is 40 ft from the base of the pole? Nov 21, 2014 · The speed of the tip of her shadow would be this speed added to her traveling speed: 2. How fast is the length of her shadow increasing when she is 50 ft from the base of the pole? ft sec Question Help D Post to forum bi b2 An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per second. 30y=6x+6y :. Using similar triangles. 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. How fast is the tip of her shadow moving along the ground when she is 50 ft from the base of the pole? How fast is the length of her shadow increasing? Apr 2, 2017 · a street light is at the top of a 14 ft tall pole. A street light is at the top of a 19 ft tall pole. Bob is \(B\) meters tall and the lamp post is \(L\). ft sec Oct 17, 2016 · Violet B. 2m/s. How fast is the length of her shadow increasing when she is 45 ft from the base of the pole? Note: How fast the length of her shadow is changing IS NOT the same as how fast the tip of her shadow is moving away from the street light. 5 ft sec O D. Part a) How fast is the length of the shadow increasing? A street light is at the top of a 11 ft tall pole. Mar 19, 2020 · a street light is at the top of a 14 ft tall pole. A road perpendicular to a highway leads to a farmhouse located 2 km away . d/6 = (x+d)/18 from the similar triangle relationship (base1/height1 = base2/height2). So, the hypotenuse at any time (x) is √((x+14)^2 - 36), where x is the distance the woman has moved from the pole. Let's denote the length of the shadow as s and the distance between the woman and the pole as x. 4 ft sec O B. l=5/4x Differentiating wrt x gives; (dl)/dx=5/4 And by the chain rule we have: (dl How fast is the tip of her shadow moving along the ground when she is 45 ft from the base of the pole? ft/sec How fast is the length of her shadow increasing? ft/sec (1 point) Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by C = 70000 + 40x, R= 400- x2 40' > where the production output in one Therefore, the rate at which the tip of his shadow is changing is 10 ft/s. sec O C. How fast is his shadow increasing when he is 9 ft from the street light? Jan 11, 2020 · a street light is at the top of a 14 ft tall pole. 77 + 6 = 8. A young girl, 5 feet tall, is walking away from a lamppost which is 12 feet tall. How fast is the length of the person’s shadow (on the horizontal ground) increasing when the person is 40 ft from the point directly across the road from the pole?" However, Aug 28, 2014 · skateboard is 6 ft. com. 5 mv s 2 m / s 0. 9 m/s. meters tall. 6 meters per second, how fast is the length of his shadow on the wall decreasing when he is 4 meters from the wall? Strategy: The ultimate question here involves the height of the man’s shadow, which will be diminishing as he walks away from the light. How fast is the length of her shadow increasing in feet per second when she is 20 feet from the post?Answer: 10/7 ft Solved A street light is at the top of a 19 ft tall pole. To solve this problem, we can use similar triangles and related rates. 77 ft/sec for how fast her shadow is lengthening. ft sec Oct 7, 2023 · A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. sec An osprey flying horizontally 100 feet above a lake spots a fish below. The speed of the tip of her shadow would be this speed added to her traveling speed: 2. asked • 10/17/16 a man of height 1. dy/dt=5/3dx/dt you know dx/dt=4(ft)/s because How fast is his shadow increasing in length? A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 13 km and climbs at an angle of 20 degrees. nblqc bsvc xsjf hkif hafct udzmosi tyqibh xdpeo tqign ekrjp