Question

16. A 40-ft. guy wire helps to support a tower. The wire is anchored to the ground 19 ft. from the base of

the tower. What is the measure of the angle formed between the wire and the ground, to the nearest
degree?
a.
25°
b. 65°
C.
62°
d. 28°
laual ground and the trunk is

Answer 1

We can use trigonometry to solve this problem. Let θ be the angle formed between the wire and the ground. Then, using the right triangle formed by the wire, the tower, and the ground, we have:

cos θ = adjacent/hypotenuse

where the adjacent side is 19 ft. (distance from the base of the tower to the anchor point) and the hypotenuse is 40 ft. (length of the guy wire). Solving for θ, we get:

θ = cos^-1(19/40) ≈ 62°

Therefore, the measure of the angle formed between the wire and the ground is approximately 62 degrees. Answer C.

Explanation: