A guy wire is a cable used to restrain objects from moving. They are used to support towers or poles. A guy wire is attached to a cell tower. The 45-foot long guy wire is attached to a tower such that the angle formed by the ground and the wire measures 32°. The guy wire is replaced by a guy wire 100 feet long. The point at which the new guy wire attaches to the tower is the same as it was with the original wire. What is the approximate measure of the angle formed by this new guy wire and the ground?
The guy (hypotenuse) and the tower and the ground form a RIGHT triangle.
Find the height of the tower sin 32 = opp/hyp = height/guy
.5299 = height/45 height = 23.85 ft tall
Now use the 100 foot guy
sin (angle) = 23.85/100 = .2385 arcsin (.2385) = 13.8 o