A tall tower is constructed on the side of a hill with uniform incline. Two guy wires are attached to the top of the tower and to points on the ground 50.0 feet from the tower - one directly up-slope and one directly down-slope. If the wires are 284.7 feet and 303.5 feet respectively, what is the angle of incline of the hill and how high is the tower?

(In reply to Question by Bractals)

Indeed I did. 

It was a simple application of the Law of Cosines for my students to find the wire lengths.  I wondered if it could be solved the other way around.  As you have seen it can.

Posted by Jer on 2014-06-19 01:21:00