The circular base of an above-ground swimming pool lies in a level yard and just touches two straight sides of a fence at points A and 8, as shown in the figure above. Point C is on the ground where the two sides of the fence meet. How far from the center of the pool's base is point A ?
(1) The base has area 250 square feet.
(2) The center of the base is 20 feet from point C.