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 50-foot long guy wire is attached to a tower such that the angle formed by the ground and the wire measures 35°. The guy wire is replaced by a guy wire 120 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?
We need to find the height of the attachment above the ground= H
sin 35 = H / 50
50* sin 35 = H
When the 120 ft guy wire is attached....we can find the angle as
sin A = H / 120
sin A = (50*sin 35) / 120
To find the angle....take the arcsin
arcsin [ (50 * sin 35) / 120 ] ≈ A ≈ 13.8°