A radio transmission tower is 140 feet tall How long should

A radio transmission tower is 140 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is to make an angle of 20° with the ground? Give your answer to the nearest tenth of a foot.

The answer is 371.3 ft, but I keep getting 139.1 ft.

Solution

127/sin(20) = 371.3

Imagine a right triangle with one side 127 ft (140-13), and an angle at the ground of 20 degrees.
Sine= opposite side/ hypotenuse,
so
sin(20) = 127/x
solving for x yields 371.3 ft.