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 1.3 m/s, at what rate is the length of his shadow on the building changing when he is 4 m from the building? (Round your answer to one decimal place.)

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Let x be the distance from the woman to the pole and y be the distance from the tip of the woman's…

Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west…

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Q: A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast is…

A: Here we find rate of shadow lengthening.

Q: A street light is fastened to the top of a 15-ft-high pole. If a 5-ft-tall women walks away from the…

A: In the figure,  AB=15 ft DE=5 ft BD=yDC=xdydt=3 ft/sec

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A: Shown below

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A: Let the distance of the person from pole be denoted as y. Let the length of the shadow of person…

Q: A light is at the top of a 16 ft pole. A man 6 ft tall walks away from the pole at a rate of 5ftsec…

A:

Q: A light is hung 15 ft above a straight horizontal path. if a man 6 ft tall is walking away from the…

A: Solution :x=distance from lights=length of shadowlet,height of light,D=15 ftheight of…

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A: Given problem:- A street light is at the top of a 10 ft tall pole. A woman 5.75 ft tall walks toward…

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A: In the figure, x is the distance of pole from the man at the ground level. s is the length of the…

Q: A street light is at the top of a 10 ft tall pole. A woman 6.5 ft tall walks toward the pole with a…

A:

Q: 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…

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A: Let AB represents the distance from the spot light to the bottom of the wall which is 12 m. Let…

Q: A street light is at the top of a 14 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: 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…

A:

Q: A man 5ft tall is walking along a straight line at a rate of 3ft/s towards a lamp post that is 15ft…

A:

Q: A street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward the pole with a…

A: Given problem:- street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward…

Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A: Given the data :

Q: A man 6 ft tall walks at a rate of 5 feet per second away from a light that is 15 ft above the…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A:

Q: A street light is at the top of a 18 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: According to the given condition we haveIn this diagram, we have BC is the distance from the women…

Q: A man 2m tall is walking at the rate of 2m/s away from a lamp post 7m high. At what rate is the tip…

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Q: Two cars start moving from the same point. One travels south at 60 mi /h and the other travels west…

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Q: A lighthouse is located on a small island 4km away from the nearest point P on a straight shoreline,…

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Q: Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west…

A: Consider the provided information, Let x and y be the traveled by the cars after time t. We can…

Q: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the spotlight…

A: Given: A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks from the…

Q: man 6 ft tall walks at a rate of 5 feet per second away from a light that is 15 ft above the ground.…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A: Please refer the attached image for complete solution. THANK YOU !

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the…

A:

Q: A spotlight on the ground is shining on a wall 24m away. If a woman 2m tall walks from the spotlight…

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Q: A street light is at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

A: A streetlight is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: First draw the figure according to question is given and use similar traingle to find the rate of…

Q: c. A man 5 ft tall is walking along a straight line at a rate of 3 ft/sec towards a lamp post that…

A: Definition uses-       Similar triangles -        If two triangles are similar then their…

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Q: A 6-ft tall man is walking towards a 15-ft tall street lamp at the rate of 9 ft/sec. How fast is his…

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Q: A street light is at the top of a 29 ft pole. A 4 ft tall girl walks along a straight path away from…

A: Draw a diagram that illustrates the given information Let x be the distance to the girl from the…

Q: 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…

A:

Q: A searchlight, 1/2 mi from a straight shore, rotates at the rate of 2 rev/min. How fast is the spot…

A: Let the angle formed by line AB with the line AC is x  in the triangle ABC,   So, from the tangent…

Q: . A 6-ft tall man is walking away from a 15-ft tall street lamp at the rate of 5 ft/sec. How fast is…

A:

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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Q: How fast is the tip of her shadow moving?

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: In the given figure,   Here, x is the distance from the woman to the pole , y is the distance rom…

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Q: An observer who is 3km from a launchpad watches a rocket that is rising vertically. At a certain…

A: Rate of change

Q: Two cars start moving from the same point. One travels south at 56 mi/h and the other travels west…

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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Q: . A kite 100 ft above the ground moves horizontally at aspeed of 8 fts. At what rate is the angle…

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Q: Two cars start moving from the same point. One travels south at 16 mi/h and the other travels west…

A: A goes to south at 16 mi/h, so dA/dt= 16  After 3 hours A will be 16*3=48 mi away from the origin.…