A 10-foot ladder leans against a wall while the base of the ladder is sliding away from the foot of the wall at 1 foot per second when the base is 6 feet from the wall. Find the rate of change for the top of the ladder sliding down the wall and the rate the angle formed by the ladder and the floor is changing at that exact same moment.

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A: The given problem is solved below in detail.

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A: we will find the required.

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A: Please see the below picture for detailed solution.

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