calculus

A 15-ft ladder rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 0.33 ft/sec, how fast, in ft/sec, is the bottom of the ladder sliding away from the wall, at the instant when the bottom of the ladder is 9 ft from the wall? Answer with 2 decimal places.

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  1. we have

    x^2+y^2 = 225
    2x dx/dt + 2y dy/dt = 0

    Now plug in x=9, y=12, dy/dt=-1/3

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  2. 0.44

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