Solve the problem.
-Scott set up a volleyball net in his backyard. One of the poles, which forms a right angle with the ground, is 7 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 12 feet from the bottom of the
Pole. To the nearest tenth of a foot, find the length of the rope.
A)4.4 ft.
B)9.7 ft.
C)13.9 ft.
D)193 ft.

Question

Quizplus · Accepted Answer

This is a right triangle problem where the pole is the height, the distance from the pole to the stake is the base, and the length of the rope is the hypotenuse. Using the Pythagorean theorem, we have:

(length of rope)^2 = (distance from pole to stake)^2 + (height of pole)^2
(length of rope)^2 = 12^2 + 7^2
(length of rope)^2 = 144 + 49
(length of rope)^2 = 193
length of rope = √193

To the nearest tenth of a foot, √193 is approximately 13.9 feet. Therefore, the best choice is C. We can use the Pythagorean theorem to solve this problem. The length of the rope is the hypotenuse of a right triangle, with one leg being the height of the pole (7 feet) and the other leg being the distance from the stake to the bottom of the pole (12 feet). Therefore, the length of the rope is √(7^2 + 12^2) ≈ 13.9 feet, to the nearest tenth of a foot.

Solve the Problem. -Scott Set Up a Volleyball Net in His Backyard. One