A pole is 65 feet tall. Noah is standing at the base of a support wire that is attached to the top of the pole. He notices that the angle of elevation to the top of the pole is 56° . How long is the support wire? Round to the nearest tenth.
We know that h = 65 ft and the angle of elevation to the top is α = 56°. x - the length of the support wire; x · cos 56° = 65 x = 65 / cos 56° x = 65 / 0.5592 x = 116.237 ≈ 116.2 ft ( to the nearest tenth ) Answer: The support wire is 116.2 ft long.