5. A 15ft ladder is leaning against a brick wall. If the base of the ladder is being pulled from the wall at a rate of 2ft/min, find the requested information. (a) Find the rate at which the top of the ladder is moving down the wall when the ladder's base is 9ft from the wall. (b) What is the rate at which the area of the triangle made by the ladder changing at that same point? (c) What is the rate at which the angle made between the ladder and the wall changing when the base of the ladder is 12ft from the wall?

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