The top of a 22 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate of 5 feet per second. How fast is the bottom of the ladder sliding along the ground when the bottom of the ladder is 7 feet away from the base of the wall?

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Q: A streetlight is mounted at the top of a 16 foot pole. An 8 foot tall Sasquatch walks away from the…

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Q: A 16-foot long Ford Fusion wants to pass a 50-foot truck traveling at 55 mi/h. How fast must the car…

A: The length of Ford Fusion is 16 foot The length of the truck is 50 foot To pass the truck…

Q: A 10-foot ladder leans against the side of a building. If the top of the ladder begins to slide down…

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Q: A 5 ft long ladder rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Let's understand what's going on:

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: A small balloon is released at a point 60 feet away from an observer, who is on level ground. If the…

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Q: A 5 foot girl is walking toward a 20- foot lamppost at the rate of 6 feet per second. How fast is…

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Q: The top of a ladder 30 meters long leans against a vertical wall, and the lower end rests on a level…

A: Let the height of wall corresponding to the ladder lean at any instant be denoted as h. Let the…

Q: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

A: A 25-foot ladder is leaning against a wall and the base begins to fall away from the wall. When the…

Q: A ​13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A: Given  Length of ladder = 13 foot  Rate of movement of ladder from wall = 4ft/second

Q: A 10-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away…

A:

Q: If the diagonal of a cube is increasing at a rate of 3 cubic inches per minute, how fast (in…

A: We will find the rate of increase of side of cube.

Q: The White River flows at a rate of 4 km/h. In order for a boat to travel 76.8 km upriver and then…

A: Let x be the speed of water still in water. Then, Upstream speed is x-4 and downstream speed is x+4.…

Q: The sides of a square baseball diamond are 90 ft long. When a player who is between second and third…

A: The solution is given below

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

A: Given:- A 17 feet ladder is leaning against a wall. if the bottom of the ladder is pulled along the…

Q: A light hangs 15 feet directly above a straight walk on which a man 6 feet tall is walking. How fast…

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Q: A spotlight on the ground shines on a wall of a building 20 feet away. If a man 6ft tall walks from…

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Q: A 3-m long steel pipe has its upper end leaning against a vertical wall and the  lower end on a…

A: Given that: Length of steel pipe=3mLower end moves away from the wall at a speed = 2cm/s

Q: The length of a rectangle is increasing at the rate of 2 feet per second, while the width is…

A: Let length = x feet and width = y feet  Given that dx/dt= 2 and dy/dt= 1

Q: A ladder 10 feet long is leaning against a wall, with the foot of the ladder 8 feet away from the…

A: To determine the rate at which the ladder is sliding.

Q: Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost which…

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Q: The base of a triangle begins to increase at a rate of 2 inches per minute while the height remains…

A: Consider the following variables, b=base of the triangleh=height of the triangleA=area of the…

Q: A 12-meter plank is leaning against the wall. If the bottom of the plank is pulled away from the…

A: We need to find how fast the plank will move.

Q: The base of a 13 foot ladder that is leaning against a wall begins to slide away from the wa When…

A: It is given that, length of the ladder x = 13 feet,  The distance between the foot of the ladder and…

Q: A 10-ft ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

A: GivenA 10-ft ladder is leaning against wall .{ HereAB is wallAC is ladder }Let the height of the…

Q: A man 6-ft tall walks with a speed of 5 ft./sec. away from a street light that is a top of a 24-ft…

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Q: A 5 meter long ladder is leaning against a wall. If the bottom of the ladder is being pushed towards…

A: Let AB is h=5 m long ladder leaning against the wall AC. Distance between the bottom of the ladder…

Q: A ladder 20 feet long is leaning against an embankment inclined 60 degrees to the horizontal. if the…

A: The ladder is leaning against an embankment inclined 60 degrees to the horizontal has length 20…

Q: The sides of the square are increasing at a rate of 3 cm per second . When the sides are 5cm long ,…

A:

Q: Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square…

A: Given,                     Each side of a square is increasing at a rate of 6 cm/s. The area of the…

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

A:

Q: A ladder 15 feet long leans against a vertical wall. If the bottom of the ladder is pulled away from…

A: According to Pythagorean theorem , square of the hypotenuse side is equal to sum of the square of…

Q: A 30-foot ladder is leaned up against a 2-story building with 8-foot floors. The bottom of the…

A: Consider the diagram below with marked information: Speed of change in base is 6 feet per second.

Q: A conical tank 20 feet in diameter and 30 feet tall (with vertex down) leaks water at a rate of 5…

A: To find the rate of water

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

A:

Q: The top of a 18 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

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Q: A man, running 3 meters per second in an open field, runs east for 30 seconds, then turns north.  If…

A: Since the man ran 3m/s east for 90 sec so he is 90 m from the searchlight. Consider the diagram…

Q: Each side of a square is increasing at a constant rate of 4 centimeters per second. At what rate is…

A:

Q: A 6-foot-tall man walks away at the rate of 4 ft/sec from the base of a street light 12 feet above…

A: dx/dt​=4.  given.    Distance of tip= y+x…

Q: A 80 foot ladder leaning against a wall is being pushed so that the bottom of the ladder is sliding…

A: Here dydt=6feet/secondx=48 feety=64feet

Q: A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Assume length of ladder be l height be h base be b Given l=13 ft b=5ft dbdt=2ft/sec

Q: A 22-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: Leader is leaning against wall at AC=22 ft. Distance of the ladder from the wall is x=15 ft. Let the…

Q: The base of a 20-foot ladder is sliding toward a wall at a rate of 1.5 feet per second. How fast is…

A: We solve the above problem.