A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 65°. A guy wire is to be attached to the top of the tower and to the ground, 148 ft downhill from the base of the tower. The angle formed by the guy wire is 9°. Find the length of the cable required for the guy wire.

Question

A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 65°. A guy wire is to be attached to the top of the tower and to the ground, 148 ft downhill from the base of the tower. The angle formed by the guy wire is 9°. Find the length of the cable required for the guy wire.
PLEASE I JUST NEED THE ANSWER!!!

oobleck · Answer

sorry - you will have to do some work, too ...
Draw a diagram and label
A = place where guy wire meets the hill
P = point level with A, just below the tower
T = top of tower
Now you can see that
AP/148 = cos65°
AP/AT = cos74°
You want the distance AT