PRECALC HELP
posted by JOHN on .
A communications tower is located at the top of a steep hill, as shown. The angle of inclination of the hill is 58°. A guy wire is to be attached to the top of the tower and to the ground, 150 m downhill from the base of the tower. The angle α in the figure is determined to be 7°. Find the length of cable required for the guy wire. (Round your answer to the nearest meter.)
All I know is that this question has something to do with law of sine and that's all.
Thank you!

A pedal socket has a radius of 4 in and the wheel socket has a radius of 2 in. The wheel has a radius of 13 in. The cyclist pedals at 30rpm
Find the angular speed of the socket.
Find the speed of the bicycle (assuming the weel turns the same as the wheel socket) 
Sorry I accidentally submitted my question here.