Question: A 13-foot ladder leans against a vertical wall so that the ladder, ground and the wall form a right triangle. The top of the ladder starts to slide down the wall at a constant rate of 6 feet per second.
a. How fast is the bottom of the ladder sliding away from the wallwhen the ladder is 5 feet away from the wall?
b. At this moment, how fast is the area of the triangle formed by ladder, wall and ground changing?