Suppose we have a ladder leaning against a wall. The base of the ladder is sliding away from the wall at a rate of 1 meter per second, and the bottom of the ladder is 3 meters from the wall. The top of the ladder is 5 meters above the ground, and it is sliding down the wall at a rate of 2 meters per second. At what rate is the angle between the ladder and the ground changing when the bottom of the ladder is 3 meters from the wall? Show complete solutions which show the following:

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