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 3 feet from the bottom of the
Pole. To the nearest tenth of a foot, find the length of the rope.
A)58 ft
B)3.2 ft
C)6.3 ft
D)7.6 ft

Question

Quizplus · Accepted Answer

By drawing a diagram, we form a right triangle with the pole as the height, the ground as the base, and the rope as the hypotenuse. Then, we can use the Pythagorean Theorem to solve for the length of the rope.

a² + b² = c²

where a = 7 (height of pole), b = 3 (distance from stake to bottom of pole), and c = length of rope.

Substituting in the values, we get:

7² + 3² = c²
49 + 9 = c²
58 = c²
c ≈ 7.6 feet (rounded to the nearest tenth)

Therefore, the length of the rope is approximately 7.6 feet. The best choice is D.

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