A light is hung 15ft above a straight horizontal path. If a man 2 ft tall is walking away from the light at the rate of 5ft per sec, how fast is shadow lengthening?

Q: 3. A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from…

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A: From the Pythagorean theorem, BC2+AB2=AC2

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Q: A street light shines onto the ground from the top of a 30 ft tall pole. A 5.3 ft tall person is…

A: Make the diagram then try to understand

Q: 13. A light is hung 15 ft. above a straight horizontal path. If a man 6 ft. tall is walking away…

A: using the concept of similar triangles. the two triangles formed are similar , therefore, the ratio…

Q: Each side of a square is 6 ft and is increasing at a rate of 2 ft per second. How fast is the area…

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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…

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Q: A 40-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 7…

A: Find the rate of the top of ladder sliding down.

Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is…

A: Given an arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft.…

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Q: A l10-ft ladder is leaning against a vertical wall. If the bottom of the ladder is pulled away from…

A: If you like the solution then please give it a thumbs up.. The Answer is:        dy/dt = -3/2  or…

Q: A boat is being pulled with a rope towards a dock that is 10 ft above the water, as shown in the…

A: Let the distance of the boat= x ft y=length of the rope.  So,  given that dy/dt= 1.5 ft/min We have…

Q: Consider a pool shaped like the bottom half of a sphere, that is being filled. The radius of the…

A: The volume of hemisphere filled with liquid to height h = πrh2-π3h3

Q: A triangular trough is 10ft long, 6 ft across the top, and 3 ft deep. If water flows in at the rate…

A: Given: A triangular trough is 10 ft. long, 6 ft. across, and 3 ft. deep.If water flows in at the…

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 inches tall person is walking away from the…

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Q: A water trough is 10m long and a cross-section has the shape of an isosceles trapezoid that is 30cm…

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Q: A boat is pulled toward a dock by means of a rope wound on a drum that is located 3 ft above the bow…

A: a rough sketch of the problem will be as follows:

Q: A 14 ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Given : The pulley is 1 m higher than the bow The rate at which rope is pulled dydt=-1m/s and x=8.…

Q: A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How…

A: Given problem:- A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5…

Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 in tall person is waking away from the pole…

A: Given that:Height of the poll is 12 ft and height of the person is 5 ft 6 in or 5.5 ft.Let x and y…

Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

A: Topic:- calculus

Q: A boat is pulled into a dock by means of a rope attached to a pulley on the dock. The rope is…

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Q: A street light is at the top of a 29 ft pole. A 6 ft tall girl walks along a straight path away from…

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Q: 4. A street light is at the top of a 16 ft pole. A 6 ft tall woman walks along a straight path away…

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Q: A boat that arrives at a dock 20 ft above water level is being pulled in by a fisherman using a rope…

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Q: A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of…

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A: Let A= Pulley , B= Boat Given that AC=1  Let, x= distance of the boat from the dock. y=length of the…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

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Q: A car braked with a constant deceleration of 18 ft/s2, producing skid marks measuring 100 ft before…

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Q: A 17 ft ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground…

A: x2+y2=172=289Differentiate with respect to 't'2xdxdy+2ydydt=0   xdxdt+ydydt=0

Q: D. A ladder 10 feet long rests against a vertical wall. If the top of the ladder slides down at a…

A: Make a diagram according to the situation.

Q: a kite at a height of 60 ft is moving horizontally at a rate of 5 ft/sec away from the boy who flies…

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

A: topic - triangles and rate

Q: A kite, at a height of 60ft.is moving horizontally at rate of 5ft./sec away from the boy who flies…

A: In right angle triangle ,According to the Pythagoras theorem , H2 = P2 + B2 Where H is horizontal ,…

Q: A street light is at the top of a 20 ft pole. A 5 ft tall girl walks along a straight path away from…

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Q: A 15 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: A 20-foot ladder is leaning against a vertical wall. Suppose the base of the ladder slides away from…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given:-  Ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away…

Q: B. A ladder 13 feet long rests against a vertical wall. If the top of the ladder slides down at a…

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Q: A street light is at the top of a 26 ft pole. A 5 ft tall girl walks along a straight path away from…

A: Given:

Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

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Q: A boat is pulled toward a pier by means of a taut cable. If the boat is 20 ft below the level of the…

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Q: light is 25 ft above a sidewalk and a man 6 ft tall is walking away from the point under the light.…

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Q: The base x of the right triangle in the figure increases at a rate of 6 cm/s, while the height remai

A: In this question we will use basic of calculus i.e application of differentiation. We will first…