A ladder 25 feet long is leaning against the wall of a house. The base of...

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A ladder 25 feet long is leaning against the wall of a house.The base of the ladder is pulled away from the wall at a rate of 2feet per second.

How fast is the top of the ladder moving down the wall when thebase is 15 feet from the wall?

Consider the triangle formed by the side of the house, theladder, and the ground. Find the rate at which the area of thetriangle is changing when the base of the ladder is 15 feet fromthe wall.

Find the rate at which the angle between the ladder and the wallof the house is changing when the base of the ladder is 15 feetfrom the wall.

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