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The bottom end A of a 20-foot ladder is resting on the ground, while its top...

The bottom end A of a 20-foot ladder is resting on the ground, while its top end B is leaning against a vertical wall. The point P is a fixed point on the ladder such that ?? = 4 ??. Let ? be the point where the ground and the wall will meet. The bottom end A of the ladder is pulled away from the wall at a rate of 2 ??/???. Find how fast the distance ?? is changing when the point A is 12 ?? from the wall. Provide the exact answer.
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