Question

A guy wire to a tower makes a 67° angle with level ground. At a point 33 ft farther from the tower than the wire but on the same side of the base as the wire, the angle of elevation to the top of the pole is 36°. Find the wire length (to the nearest foot).

Answer 1

The arrangement of the guy wire and the tower based on the information given is as shown in the attached photo.

The length of the guy wire is "x".
Using Sine rule;
(33/Sin 31) = (x/Sin 36)
x = (33 Sin 36)/Sin 31 = 37.66 ft

Therefore, length of the guy wire is 37.66 ft.