You and a friend decide to set up a volleyball net in your backyard. Each pole that holds the net has a string to secure it to the ground for stability. If the pole is 8 feet tall after being placed in the ground and the stability string is 12 feet long, what is the approximate angle formed between the pole and the string?(1 point) Responses 73° 73° 48° 48° 42° 42° 90°
To find the angle formed between the pole and the string, we can use the inverse trigonometric function cosine.
The adjacent side is the height of the pole, which is 8 feet. The hypotenuse is the length of the string, which is 12 feet.
cos(angle) = adjacent/hypotenuse
cos(angle) = 8/12
angle = arccos(8/12) ≈ 48°
Therefore, the approximate angle formed between the pole and the string is 48°.