The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 45 miles apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87 degrees and 84 degrees, respectively.

(a) How far is the satellite from station A? Your answer is   miles;
(b) How high is the satellite above the ground? Your answer is   miles;