A 26 foot ladder is sliding down a vertical wall.  The base of the ladder is sliding away from the wall at a rate of 3 feet per minute At what rate is the ladder sliding down the wall when the base of the ladder is 10 feet from the wall?

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Let y be height of wall upto ladder and x be distance between bottom of wall and bottom of ladder…

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 17 foot tall ladder is leaning against a vertical wall and its base is on level ground. The top of…

A: We have to find at what rate is the top of the ladder sliding down the wall when it is 8 feet above…

Q: A submarine started at the surface of the ocean and began diving -15 kilometers per minute towards…

A: Given: Diving speed of submarine, s = 15 km/min, and time of diving, t = 48 min

Q: A light is hung 6 meters above a straight horizontal path.  If a man 2 meters tall is walking toward…

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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: A ladder 10 ft. long If the bottom of the ladder slides away from the wall at a rate of 2 ft./sec.,…

Q: A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

A: Given A ladder 10 ft long leans against a building. If the bottom of the ladder slides away from the…

Q: A ladder 10 feet long is leaning against the side of a vertical wall. The bottom of the ladder…

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Q: A weight is attached to one end of a 33-foot rope which passes over a pulley 18 feet above the…

A: The above problem statement can be pictorially represented as:

Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate is the area of the square…

A: Let the side of the square be 'x' cm. Therefore the area of the square is given by: A=x2

Q: A ladder 20 feet long leans against a house. What is the rate at the top of a ladder that is moving…

A: Given that ,      A ladder 20 feet long leans against a house. We have to calculate the rate at 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 46 ft ladder is leaning against a vertical wall when Jack begins pulling the foot of the ladder…

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Q: A baseball diamond is a square with side 90ft. A batter runs toward first base at 25 feet per…

A: Assume x = distance batter has run at time t andD = distance from second base to the batter attime…

Q: Two cars start moving from the same point. One travels south at 32 mi/h and the other travels west…

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Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: 16 mi/h and the other travels west at 12 mi/h. At wha

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Q: The top of a 22 foot ladder, leaning against a vertical wall, is slipping down the wall at the rate…

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Q: The height of a right circular cylinder is 50 inches and decreases at the rate of 4 inches per…

A: Topic = Volume

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

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Q: The top of a ladder slides down a vertical wall at a rate of 0.125 m/s. At the moment when the…

A: To find: -

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: 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 17 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 3 ft/s, how…

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: Each side of a square is increasing at a rate of 6 cm/s. To determine the rate at which the area of…

Q: Each side of a square is increasing at a rate of 3 cm/s. At what rate is the area of the square…

A: Let the length of side of square be' a '

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

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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 35-ft ladder is leaning against a wall. If the bottom is pulled away from the wall at a rate of 8…

A: Let BC = x = distance from the base of wall to bottom of the ladderAB = y = distance from the base…

Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

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Q: Two cars start moving from the same point. One travels south at 84 mi/h and the other travels west…

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Q: A 6 foot tall man walks away at the rate of 4 feet per second from the base of the street light 12…

A: Let s be the length of the base of the street light to the shadow, x be the length of the base of…

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs to first base with…

A: This question is based on application of  differentiation and Pythagoras theorem, We will solve it…

Q: a 5-ft tall person walks away from a 20-ft tall streetlamp at a constant rate of 3 ft/s . at which…

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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: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

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Q: A man 6 feet tall walks at a rate of 2 feet per second away from a light pole that is 16 feet high.…

A: From the figure substitute value of BE, AE, AD and AC in equation (1)

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square…

A: If the area of a square, A, is x2 units , then the length of its side is x unit .

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Given: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when…

Q: A ladder 25 feet long is leaning against a vertical wall. If the bottom of the ladder is pulled…

A: A ladder 25 feet long is leaning against a vertical wall. The bottom of the ladder is pulled…

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.…

Q: A 15-foot ladder is slider down a wall at a rate of 3 ft/sec.  At what rate is the bottom of the…

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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: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

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Q: The top of a ladder slides down a vertical wall at a rate of 0.25 m/s. At the moment when the bottom…

A: Let the height up of the wall to the top of the ladder is y. let the distance between the bottom of…