A 13 ft ladder is leaning against a house when its base begins to slide away. By the time the base is 3 ft from the house, the base is moving at the rate of 5 ft/sec. Answer the following:

Question

At what speed is the top of the ladder sliding down the wall at that time?

Answer = ft/sec.

At what rate is the area of the triangle formed by the ladder, wall, and ground changing then?
Answer = ft/sec.

At what rate is the angle (theta) changing then?
Answer = ft/sec.