Answer:
(d) 59 ft
Step-by-step explanation:
In the geometric model of the problem, the guy wire is the hypotenuse of a right triangle, with the tower being one leg, and the distance along the ground from the tower being the other leg. The ground distance is "adjacent" to the angle of elevation, so the relevant trig function is ...
Cos = Adjacent/Hypotenuse
Solving for the hypotenuse, gives ...
hypotenuse = adjacent/cos(α) = (34 ft)/cos(55°) ≈ 59 ft
The length of the guy wire is about 59 feet.
