Related Rates of Change: A Sliding Ladder and Flying a Kite.

A Sliding Ladder. A 13 ft ladder is leaning against a house when its base starts to slide away. By the time the base is 12 ft from the house, the base is moving at the rate of 5 ft/sec. a) How fast is the top of the ladder sliding down the wall then? b) At what rate is the area of the triangle formed by the ladder, wall, and ground changing then ? c) At what rate is the angle Theta between the ladder and the ground changing then?

Flying a Kite. A girl flies a kite at a height of 300 ft, the wind carrying the kite horizontally away from her at a rate of 25 ft/sec. How fast must she let out the string when the kite is 500 ft away from her.