Monday

February 8, 2016
Number of results: 183,389

**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.
*December 11, 2010 by Madeline*

**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 ...
*October 7, 2015 by Jake*

**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...
*December 1, 2009 by sh*

**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.
*March 7, 2014 by MEMO*

**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...
*August 31, 2011 by Andrea*

**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?
*September 25, 2014 by Mike Nguyen*

**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
*February 17, 2010 by calculus*

**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 ...
*October 26, 2014 by Bryce*

**Math Urgent help please**

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)
*February 10, 2014 by Anna*

**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...
*October 17, 2014 by kiera bryant*

**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.)
*January 12, 2010 by Kelsey*

**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.]
*June 2, 2012 by Anonymous*

**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 ...
*October 4, 2015 by Andy*

**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...
*February 6, 2011 by Katie*

**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...
*August 12, 2015 by hey*

**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.
*April 18, 2014 by nurul*

**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 ...
*September 12, 2010 by Nikki*

**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 ...
*April 19, 2011 by Tim2*

**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 ...
*April 20, 2011 by Ralph*

**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 ...
*April 20, 2011 by Ralph*

**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.
*January 27, 2013 by opy*

**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?
*December 9, 2012 by Anonymous*

**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?
*December 10, 2012 by Please Help! :)*

**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?
*October 21, 2015 by Sisi*

**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?
*August 10, 2015 by hey*

**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 ...
*October 29, 2014 by Danielle*

**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?
*January 11, 2012 by Anonymous*

**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 ...
*May 21, 2015 by Gilo*

**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?
*October 19, 2014 by 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 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?
*October 5, 2015 by Madison C.*

**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...
*October 28, 2014 by Hep with this question*

**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 ...
*November 12, 2015 by jeff*

**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....
*December 5, 2012 by Soph*

**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
*July 26, 2011 by Abdul Muqsit*

**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?
*October 8, 2012 by Prabhakaran*

**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 ...
*November 3, 2015 by PAT*

**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 ...
*August 31, 2015 by Rosie*

**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 ...
*August 12, 2015 by Jean*

**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?
*November 8, 2009 by Peter*

**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?
*October 14, 2010 by Sasha*

**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?
*February 3, 2013 by bryan*

**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?
*January 10, 2012 by Anonymous*

**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?
*November 13, 2011 by Sarah*

**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?
*September 3, 2012 by joe*

**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?
*June 8, 2012 by Teri*

**grade 7 math**

how can you figure out the length of a shadow if you walk closer to a lamppost?
*March 30, 2011 by melissa*

**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 mans shadow moving?
*October 6, 2014 by Joey*

**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.
*July 24, 2011 by Angela*

**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
*July 24, 2011 by Ashley*

**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.
*July 24, 2011 by Ashley*

**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?
*April 15, 2013 by y*

**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?
*March 14, 2011 by Anonymous*

**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 ...
*May 5, 2011 by Amy*

**Math grade 9ish**

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 ...
*September 13, 2011 by Daniel*

**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?
*June 25, 2013 by savanna*

**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...
*October 5, 2011 by Linda*

**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 ...
*December 7, 2014 by Dani*

**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 ...
*September 13, 2011 by Ryan*

**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?
*August 24, 2013 by Annabelle*

**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?
*October 23, 2012 by Anonymous*

**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?
*January 3, 2011 by kayla*

**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?
*November 2, 2012 by AH*

**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
*November 9, 2012 by kela*

**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?
*October 16, 2012 by sara*

**Math**

A 6ft. person casts a 4ft. shadow. Next to the person, a lamppost casts a 30ft. shadow. How tall is the lamppost?
*March 6, 2014 by Kimberly*

**physics**

Okay, I have an example problem that I'm trying to solve that comes with the answer; I'm just trying to figure out what to do. A man jogs at a speed of 1.8 m/s. His dog waits 2 s and then takes off running at a speed of 4 m/s to catch the man. How far will they have each ...
*January 15, 2011 by j*

**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...
*May 30, 2012 by Bob*

**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...
*May 30, 2012 by John*

**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...
*May 30, 2012 by Bob*

**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...
*May 30, 2012 by Bob*

**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...
*May 31, 2012 by Bob*

**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?
*October 8, 2014 by steve*

**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?
*November 12, 2014 by Charlie*

**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?
*March 2, 2008 by Anonymous*

**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?
*October 18, 2013 by Edward*

**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?
*October 30, 2013 by Kate*

**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?
*November 3, 2014 by Julia*

**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 ...
*December 16, 2013 by Griffin*

**Statistics check**

Complete the hypothesis test with alternative hypothesis d 0 based on the paired data that follows and d = O - Y. Use = 0.01. Assume normality. Oldest 188 174 192 196 65 Youngest 186 168 199 199 69 (a) Find t. (Give your answer correct to two decimal places.) Correct: ...
*June 25, 2013 by Tracy 10*

**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?
*November 3, 2015 by jay*

**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 =
*April 24, 2011 by saud*

**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?
*January 8, 2012 by M.C.*

**calculas**

A man 5.00 ft tall approaches a street light 17.0ft above the ground at the rate of 4.00 ft/s. How fast is the end of the man's shadow moving when he is 9.0 ft from the base of the light? The end of the man's shadow is moving at a rate of_ft/s
*December 2, 2014 by jessica*

**Calculas**

A man 6.5 ft tall approaches a street light 17.0ft above the ground at the rate of 8.00 ft/s. How fast is the end of the man's shadow moving when he is 5.0 ft from the base of the light? The end of the man's shadow is moving at a rate of_ft/s
*December 2, 2014 by jessica*

**math**

A man who is 1.6 m tall is walking on the road at a constant speed of 1 m/s. There is (only) one lamp placed 3.2 m above the road. At a specific moment the man was just under the lamp. What will be the rate at which the length of his shadow will be changing after: a) 2 sec b) ...
*February 22, 2015 by ani*

**math**

A man who is 1.6 m tall is walking on the road at a constant speed of 1 m/s. There is (only) one lamp placed 3.2 m above the road. At a specific moment the man was just under the lamp. What will be the rate at which the length of his shadow will be changing after: a) 2 sec b) ...
*February 22, 2015 by ani*

**Calculus**

A man is 6ft tall and is walking at night straight toward a lighted street lamp at a rate of 5 ft/sec. If the lamp is 20 ft above the ground, find the rate at which the length of his shadow is changing.
*February 28, 2013 by Trevor*

**calculus**

A street light is at the top of a 15.000 ft. tall pole. A man 6.300 ft tall walks away from the pole with a speed of 6.000 feet/sec along a straight path. How fast is the tip of his shadow moving when he is 45.000 feet from the pole?
*October 28, 2013 by Matt*

**trigonometry**

A barge is being towed south at the rate 2 km/hr. A man on the deck walks from west to east at the rate 4ft/s. Find the magnitude and direction of the man's actual velocity.
*August 7, 2014 by karl*

**calculus**

Suppose that the radius r of a right circular cone of fixed height h = 20 cm is increasing at a rate 4 cm/s. How fast is the volume increasing when r = 10? Give your answer correct to two decimal places.
*October 11, 2010 by John*

**Calculas**

Suppose that the radius r of a right circular cone of fixed height h = 30 cm is increasing at a rate 10 cm/s. How fast is the volume increasing when r = 15? Give your answer correct to two decimal places.
*October 12, 2010 by Jp*

**diffirential calculus**

a woman 6ft tall walks away from a light 10ft above the ground. if her shadow lengthens at the rate of 2ft/sec. how fast is she walking?
*September 25, 2011 by kait*

**Math**

You place a mirror on the ground 6 feet from the lamppost. you move back 3 feet and see the top of the lamppost in the mirror. What is the height of the lamppost?
*November 7, 2013 by Liz*

**Algebra II**

A person who is 6 feet tall walks away from a 50-foot silo toward the tip of the silo's shadow. At a distance of 32 feet from the silo, the person's shadow begins to emerge beyond the silo's shadow.How much farther must the person walk to be completely out of the silo's shadow?
*November 23, 2007 by Brittany*

**College Algebra**

A person who is 6 feet tall walks away from a 50-foot tower toward the tip of the tower's shadow. At a distance of 32 feet from the tower, the person's shadow begins to emerge beyond the tower's shadow. How much farter must the person walk to be completely out of the tower's ...
*February 3, 2015 by Monica *

**Calculus**

A spotlight on the ground is shining on a wall 24\text{m} away. If a woman 2\text{m} tall walks from the spotlight toward the building at a speed of 0.6\text{m/s}, how fast is the length of her shadow on the building decreasing when she is 2\text{m} from the building?
*December 8, 2015 by Spencer*

**College Algebra**

A person who is 6 feet tall walks away from flagpole toward the tip of the shadow of the flagpole. When the person is 30 feet from the flagpole, the tips of the person's shadow and the shadow cast by the flagpole coincide at a point 5 feet in front of the person. Find the ...
*November 25, 2007 by Brittany*

**Math**

Someone verify if this is correct, please! 1. Draw a distance versus time graph that corresponds to the walk described below. Adam starts 8 m away from the motion sensor and walks in a straight line toward the sensor at a constant rate of 0.5 m/s for 3 s. He immediately begins...
*December 4, 2011 by Melinda*

**Math [Geometry]**

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?
*December 16, 2013 by Griffin*

**Calculus ~ Related Rates**

A man 2 meters tall walks at the rate of 2 meters per second toward a streetlight that's 5 meters above the ground. At what rate is the tip of his shadow moving?We've already set this up part of the way. We know that dx/dt = - 2 meters per second, and we're looking for dy/dt.
*January 5, 2012 by Mishaka*