# A 6-ft man walks away from a 16-ft lamppost at a speed of 4 ft/s. (See Figure). Find the rate at which his shadow is increasing in length. Give your answer correct to two decimal places

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### calculus

A 6-foot man walks away from a 16-foot lamppost at a speed of 5 ft/sec. Find exactly the rate at which his shadow is increasing in length.

### Calculus

A man of height 1.7 meters walks away from a 5-meter lamppost at a speed of 1.6 m/s. Find the rate at which his shadow is increasing in length. (Round your answer to three decimal places.) This problem is absolutely killing me I see a lot of examples like this on here but I ...

### Calculus

A man 2m tall walks away from a lamppost whose light is 5m above the ground. If he walks at a speed of 1.5m/s, at what rate is his shadow growing when he is 10m from the lamppost? I tried to draw a diagram, but I don't understand where the 5m is, the height of the lamppost? Is...

### calculus

A man of height 1.5 meters walk away from a 5-meter lamppost at a speed of 1.8 m/s. Find the rate at which his shadow is increasing in length.

### related rates word problems

"A man of height 2.2 meters walk away from a 5-meter lamppost at a speed of 1.2 m/s. Find the rate at which his shadow is increasing in length. " what is the answer to this? if anyone can help that would be great

### Calculus

int) A man of height 1.7 meters walk away from a 5-meter lamppost at a speed of 2.9 m/s. Find the rate at which his shadow is increasing in length.

### Calculus

Shadow Length A man 6 feet tall walks at a rate of 3 ft per second away from a light that is 16 ft above the ground (see figure). When he is 11 ft from the base of the light find the following. (a) The rate the tip of the shadow is moving. (b) The rate the length of his shadow...

### Calculus

A man standing 9 feet from the base of a lamppost casts a shadow 6 feet long. If the man is 6 feet tall and walks away from the lamppost at a speed of 30 feet per minute, at what rate, in feet per minute, will his shadow lengthen?

### physics

A man 2 m tall is walking away from a lamppost which is 6m tall at a rate of 2 m/s. Find the rate of change of a)the tip of the shadow b) the length of his shadow

### calculus

A 6 foot tall man walks at a rate of 5 feet per second along one edge of a road that is 30 feet wide. On the other edge of the road is a light atop a pole 18 feet high. How fast is the length of the man's shadow increasing when he is 40 feet beyond the point directly across ...

### Calculus

A man is 2 m tall is walking at a rate of 1 m per second in a straight line away from a 10 m lamppost. How fast is the tip of his shadow moving away from the lamppost?

A lamppost casts a shadow of a man who is standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50. To the nearest foot, the lamppost is _____ feet tall. (Points : 2)

### precalculus

A man is walking away from a lamppost with a light source h = 6 m above the ground. The man is m = 1.5 m tall. How long is the man's shadow when he is d = 11 m from the lamppost? (Hint: Use similar triangles.)

### algebra

A man is walking away from a lamppost with a light source h = 6 m above the ground. The man is m = 1.5 m tall. How long is the man's shadow when he is d = 12 m from the lamppost? [Hint: Use similar triangles.]

### AP Calculus AB

Hello! I'm having trouble with this related rates problem: A 5ft tall person is walking away from a 16ft tall lamppost at a rate of (2/x) ft/sec, where x is the distance from the person to the lamppost. Assume the scenario can be modeled with right triangles. At what rate is ...

### Calculus

A street light is hung 18 ft. above street level. A 6-foot tall man standing directly under the light walks away at a rate of 3 ft/sec. How fast is the tip of the man's shadow moving? I know I would've to set up a proportion. 18 / 6 = x + y / y x = distance of man from light y...

### Calculus AB

A 5.5 foot man walks away from a 12 fokt lampost at a constant speed. At a given moment, let l be the length of the man's shadow (along the ground) and ket x be his distance from the lampost. Sketch a figure that represents the problem Express l in terms of x

### calculus

A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 1.1 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing...

### Calculus

Posted by hey on Monday, August 10, 2015 at 11:28pm. A man 5.5 ft tall walks away from a lamp post 10 ft high at the rate of 8 ft/s. (a.) How fast does his shadow lengthen? (b.) how fast does the tip of the shadow move? Calculus - Reiny, Monday, August 10, 2015 at 11:43pm make...

### calculus

A person 150cm tall is walking away from a lamp post at the rate of 15 meter per minute. when the man is 2.5m from the lamp post, his shadow is 3m long. Find the rate at which the length of the shadow is increasing when he is 7m from the lamp post.

### Calculus

(It's a related rate question) A man 6ft tall walks away from a lamp post (15ft) at 5ft/sec. How fast is his shadow lengthening? --- I have the picture, and the constants, the man and the lamp post. I have 5ft/sec as dw/dt, and I know I'm looking for ds/dt, the rate of the ...

### Maths

a) A young man measuring 1.89 m. walks at a velocity of 1m/s towards a lamppost which its light is at 4m from the ground. At what velocity does the young man's shadow decrease when he's 10 m away from the lamppost? b) A young girl, standing at the edge of a dock, pulls a boat ...

### Math3

a) A young man measuring 1.89 m. walks at a velocity of 1m/s towards a lamppost which its light is at 4m from the ground. At what velocity does the young man's shadow decrease when he's 10 m away from the lamppost? b) A young girl, standing at the edge of a dock, pulls a boat ...

### Math3

a) A young man measuring 1.89 m. walks at a velocity of 1m/s towards a lamppost which its light is at 4m from the ground. At what velocity does the young man's shadow decrease when he's 10 m away from the lamppost? b) A young girl, standing at the edge of a dock, pulls a boat ...

### Intermediate Algebra

You are 6 feet in height. If you are standing away from the base of the lamppost, you can see where your shadow stops. If you are 10 feet from the base of the lamppost and your shadow stops 5 feet from where you stand, what is the height of the lamppost?

### Intermediate Algebra

You are 6 feet in height. If you are standing away from the base of the lamppost, you can see where your shadow stops. If you are 10 feet from the base of the lamppost and your shadow stops 5 feet from where you stand, what is the height of the lamppost?

### physics

A man of height 1.8m walks away from a lamp at a height of 6m. If the man's speed is 7m/s, find the speed in m/s at which the tip of the shadow moves.

### Calculus AB

There's these two word problems I don't understand. 1. A man 6 ft tall walks at a rate of 5 ft per second toward a streetlight that is 30 feet high. The man's 3-foot-tall child follows at the same speed, but 10 feet behind the man. a) Suppose the man is 90 feet from the ...

### Related Rates Calculus

A man 1.8 m tall is walking at a rate of 1.5 m/s away from a streetlight. It is found that the length of his shadow is increasing at a rate of 0.9 m/s. How high above the ground is the streetlight?

### calc

a man 6 feet tall is walking away from a lamp post at the rate of 60 feet per minute. when the person is 6 feet from the lamp post, his shadow is 12 feet long. find the rate at which the length of his shadow is increasing when he is 145 feet from the lamp post

### Calculus

A man 5.5 ft tall walks away from a lamp post 10 ft high at the rate of 8 ft/s. (a.) How fast does his shadow lengthen? (b.) how fast does the tip of the shadow move?

### math- bc calc

a building is 36 ft tall. A pulley is attached to the top of the building. A rope is looped through the pulley. One end of the rope is attached to the lantern that hangs vertically parallel to the side of the building. The rope passes up vertically from the lantern, through ...

### Math: related rates

A street light is at the top of a 26 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 7 ft/sec. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 23 ft away from the ...

### Geometry

Jonathan is 3 ft from a lamppost that is 12 ft high. The lamppost and it's shadow form the legs of a right triangle. Jonathan is 6 ft tall and Is standing parallel to the lamppost. How long is Jonathan's shadow? I don't get how the answer is square root 180, Ryan?

### Calculus

A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 2.3 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing?

### Calculus

A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 1.2 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing?

### Cal.

A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 2.2 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing...

### Math

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 8 ft/sec along a straight path. How fast is the tip of her shadow moving along the ground when she is 30 ft from the base of the pole? How fast is the length of her ...

### Physics

A man places a torche on the ground, 10m away from a wall. He sees a shade on the wall and gets a friend to measure the height of the shadow as he walks towards the wall. Here are the results: Distance from torch to man height of shadow 1 20 2 10 3 6.7 4 5 5 4 6 3.3 7 2.9 8 2....

### calculus

My problem is that a stft above the sidewalk. a man 6ft tall walks away from the light at the rate of 3ft/sec. at what rate is his tip of shadow moving

### math

A man 6 feet tall walks at a rate of 5 feet/sec toward a street lamp that is 16 feet above the ground. 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 lamp post?

### MATH

A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a constant rate of 3 feet per second. How fast is the length of his shadow changing when he is 40 feet along the walkway past the closest point to the ...

### math

a man 1.9 meters tall walks away from a light 2.4m above the ground. if his shadow lengthens at a rate of 0.6 m/s, how fast is walking?

### math

A street light is at the top of a 15 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 5 ft/sec. (A)At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 28 ft away from the ...

### Calculus

A man 5.5 ft tall walks away from a lamp post 10 ft high at the rate of 8 ft/s. (a) How fast does his shadow lengthen? (b) How fast does the tip of the shadow move? Can you please tell me what method/s you used to come up with a solution? I wasn't sure about the sketch I made ...

### Calculus

A 6 feet tall man walks away from a streetlight that is 15 feet high at a rate of 5 ft/s. Express the length 's' of his shadow as a function of time. What I have so far: I set up a triangle and used similar triangles to create a ratio (6/s) = (s/d+s) s = (6d + 30/15s) And I'm ...

### Calculus

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.5 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?

### calculus

a spotlight on the ground shines on a wall 12 m away. if a man 2m tall walks from the spotlight toward the building at a speed of 1.6m/s, how fast is the length of his shadow on the building decreasing when he is 4m from the building?

### Calculus

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how fast is the length of his shadow on the building decreasing when he is 4 m from the building?

### math

a man who is 5 feet tall stands 15 feet from a lamppost that is 27 feet high. how far away from the man is the tip of his shadow?

### Geometry

Jonathan is 3 ft from a lamppost that is 12 ft high. The lamppost and it's shadow form the legs of a right triangle. Jonathan is 6 ft tall and Is standing parallel to the lamppost. How long is Jonathan's shadow?

### Calculus- rates

A man 6ft. tall walks at the rate of 5 ft/sec toward a streelight that is 16 ft. above the ground. At what rate is the length of his shadow changing when he is 10ft. from the base of the light?

### Math

a man 6ft tall walks at the rate of 5ft/sec toward a streetlight that is 16ft above the ground. At what rate is the length of his shadow changing when he is 10ft from the base of the light?

how can you figure out the length of a shadow if you walk closer to a lamppost?

### Differential calculus

A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward the building at the rate of 5 ft/sec. Find the rate at which the length of his shadow is changing when he is 15 ft from the building.

### sir steve damon reiny steve help maths

A street lamp is 6m above a straight road.A Man 2m tall.walks along the road away from the lamp at a constant speed of 1.5m/s.At what rate is his shadow lengthening?

### Calculus

A light is hung 15 ft above a straight horizontal path. If a man 6 ft tall is walking away from the light at the rate of 5 ft/sec, how fast is his shadow lengthening and at what rate is the tip of the man’s shadow moving?

### Precal

a 6' person is standing x feet away form a 10' lamppost. what is the distance d from the base of the lamppost to the end of the person's shadow, expressed as a function of x.

### math

a 6' person is standing x feet away form a 10' lamppost. what is the distance d from the base of the lamppost to the end of the person's shadow, expressed as a function of x

### Math

A man 6 feet tall is standing 4 feet away from a 20 foot lamppost. How long is the lampposts shadow?

### Pre Cal

a 6 foot person is standing x feet away form a 10 foot lamppost. What is the distance d from the base of the lamppost to the end of the persons shadow, espressed as a function of x.

### calculus

A man 2m tall walks away from a lamppot at 1m/s. If te lampatop the post is 5m above the ground, how fast is te tip of is sadow moving? How fast is the length of his shadow changing?

### math

A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a constant rate of 3 feet per second. How fast is the length of his shadow changing when he is 40 feet along the walkway past the closest point to the lamp?

### math

A man 6 feet tall walks along a walkway which is 30 feet from a the base of a lamp which is 126 feet tall. The man walks at a constant rate of 3 feet per second. How fast is the length of his shadow changing when he is 40 feet along the walkway past the closest point to the lamp?

### Calculus

Suppose a 6ft. man is 10 ft. away from a 24 ft. tall lamp post. If the person is moving away from the lamp post at at rate of 2 ft/sec, at what rate is the length of his shadow changing?

### Calculus-rates

1.) A man 6 ft tall walks at a rate of 5 ft per sec. from a light that is 15 ft above the ground. At what rate is the top of his shadow changing? 2.) An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 mph. Find ...

Evan is 1.8 metres tall. He walks between two lampposts that are 5 metres apart and notices his shadow from one of the lampposts just touches the base of the other. He also notices that the ratio of his height to the height of the lamppost is 2 to 5. How far is he from each ...

### geometry

a boy stands 1 meter away from a lamppost. he is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp. how tall is the lamppost?

### Calculus

If any body can solve this I would be greatly appreciative. I spent an hour in the tutoring center and no one could solve. Here goes: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight toward the building at a speed of 1.6 m/s, how...

### math

Evan is 1.8 metres tall. He walks between two lampposts that are 5 metres apart and notices his shadow from one of the lampposts just touches the base of the other. He also notices that the ratio of his height to the height of the lamppost is 2 to 5. How far is he from each ...

### Calculus (30min before deadline help pls )

A street light is at the top of a 16 ft pole. A 5 ft tall girl walks along a straight path away from the pole with a speed of 3 ft/sec. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 36 ft away from the ...

### Algebra 2

A lamppost casts a shadow that is 24 feet long. Tad, who is 6 feet tall, is standing directly next to the lamppost. his shadow is 15 feet long. How tall is the lamppost?

### Calculus

A 5ft tall person is walking toward a light 20ft off the ground at 8 ft/sec. What is the rate of change of the length of the persons shadow when they are 15ft away from the light? What is the speed of the tip of the shadow moving?

### Calculus

A woman 5 ft tall walks at the rate of 5.5 ft/sec away from a streetlight that is 16 ft above the ground. At what rate is the tip of her shadow moving?

### math

a 9 foot street sign casts a 12 foot shadow. the lamppost next to it castss a 24 foot shadow. how tall is the lamppost?

### calculus

A 5.5 foot tall woman walks at 6ft/s torward a street light that is 16.5 ft above the ground. what is the rate of change of the length of her shadow when she is 14ft from the street light? At what rate is the tip of her shadow moving? How do I get the equation for this and how...

### Math

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along a straight path. How fast is the tip of his shadow moving when he is 45 ft from the pole?

### calculus

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along a straight path. How fast is the tip of his shadow moving when he is 45 ft from the pole? ft/s

### calculus

A street light is mounted at the top of a 6-meter-tall pole. A man 2 m tall walks away from the pole with a speed of 1.4 m/s along a straight path. How fast is the tip of his shadow moving when he is 16 m from the pole?

### Math

A 6ft. person casts a 4ft. shadow. Next to the person, a lamppost casts a 30ft. shadow. How tall is the lamppost?

### Physics

A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...

### Physics

A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...

### Physics

A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...

### Physics

A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...

### Physics

A man who is 6 ft tall is standing in front of a plane mirror that is 2 ft in length. If the mirror is placed lengthwise with its bottom edge 4 ft above the floor on a wall that is 5 ft away, how much of his image (i.e. what length of himself) can the man see? (Assume that his...

### Trigonemtry

The sun is 25° above the horizon. Find the length of a shadow cast by a building that is 100 feet tall (see figure). (Round your answer to two decimal places.)

### caculus

a woman 1.5 tall walks at a rate of 1.2m/s directly away from the street light that is 6m above the street. At what rate is her shadow changing?

### math

A street light is at the top of a 16.0 ft. tall pole. A man 5.9 ft tall walks away from the pole with a speed of 5.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 47 feet from the pole?

### Calculus

A street light is at the top of a 14.5 ft. tall pole. A man 5.3 ft tall walks away from the pole with a speed of 5.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 47 feet from the pole?

### math

A street light is mounted at the top of a 19-ft-tall pole. A man 5.5 feet tall walks away from the pole with a speed of 14 ft/s along a straight path. How fast is the tip of his shadow moving when he is 100 feet from the pole?

### Related Rates

A street light is at the top of a 10.5 ft. tall pole. A man 5.4 ft tall walks away from the pole with a speed of 3.5 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 47 feet from the pole?

### calculus

A woman 5.5 ft tall walks at a rate of 6 ft/sec toward a streetlight that is 22 ft above the ground. At what rate is the length of her shadow changing when she is 15 ft from the base of the light?

### Calculus

A spotlight on the ground is shining on a wall 12m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 0.6m/s, how fast is the length of her shadow on the building decreasing when she is 2m from the building?

### calculus

A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight toward the building at a speed of 1.2m/s, how fast is the length of her shadow on the building decreasing when she is 4m from the building?

### calculus

Previously asked: the length of a rectangular prism is increasing at a rate of 8 cm/s, its width is increasing at a rate of 3 cm/s, and its height is increasing at a rate of 5 cm/s. when the length is 20 cm, width is 10 cm, and height is 15 cm, how fast is the volume of the ...

### math

A person 6 feet tall walks at a rate of 150 feet per minute toward a light tower whose searchlight is located 40 feet above the ground. Find the rate that the length of the shadow is changing.

### MATH - GEOMETRY/TRIGONOMETRY

A 6 foot man stands by a 30 foot radio tower and casts a 10 foot shadow. How long is the shadow cast by the tower and what time is it? I got 50 feet for the length of the shadow. What I cannot find out is, what time is it? I NEED THE TIME OF DAY. **NOT** THE LENGTH OF THE ...

### geometry

A fire hydrant that is 1.5 feet high casts a shadow that is 2.5 feet long. At the same time of day, a lamppost casts a shadow 15 feet long. What is the height of the lamppost?

### calculus

A street light is at the top of a 19 ft tall pole. A woman 6 ft 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 when she is 40 ft from the base of the pole? Rate =

### Geometry

A streetlight is mounted on top of a 15 ft. pole. A 6-ft tal man walks away from the pole along straight path. How long is his shadow when he is 40 ft from the pole?