Question

A)
You and a friend decide to set up a volleyball net in your backyard. Each pole that holds the net hasa string to secure it to the ground for stability. If the pole is 8 feet tall after being placed in the groundand the stability string is 12 feet long, what is the approximate angle formed between the pole and thestring?
(1 point)
73°
48°
42°
90°

Answer 1

Let θ be the angle between the pole (adjacent) and the string (hypotenuse).

cos θ = adjacent/hypotenuse = 8/12 = 2/3.
θ = arccos(2/3) ≈ 48°.

Answer: 48°.