A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a rate of 1 foot per…

A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a rate of 1 foot per second.

(AP Calculus AB-Help! Please explain and show work to help me understand!)

A. How fast is the top of the ladder moving down the wall when the base of the ladder is 8 feet from the wall?

B. Find the rate at which the angle ???? between the ladder and the wall of the building is changing when the base of the ladder is 8 feet from the wall.

C. A right triangle is formed by the ladder, the wall, and the ground. How fast is the area of this triangle changing when the base of the ladder is 8 feet from the wall?

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