First question: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 61 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 86.5° and 84.5°, respectively.
How far is the satellite from station A?
Distance from A =

How high is the satellite above the ground?
height =

Second question:A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 79°. A guy wire is to be attached to the top of the tower and to the ground, 110 ft downhill from the base of the tower. The angle formed by the guy wire is 7°. Find the length of the cable required for the guy wire.

length of guy-wire =