Solve. Round to the nearest tenth.
-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)6.3 ft.
B)3.2 ft.
C)7.6 ft.
D)58 ft.

Question

Quizplus · Accepted Answer

This question involves the use of the Pythagorean theorem to find the length of the rope. The pole, the rope, and the ground form a right triangle. The height of the pole is the length of one leg of the triangle and the distance from the stake to the pole is the length of the other leg. Using the Pythagorean theorem, we can find the length of the rope:

r^2 = h^2 + d^2

r^2 = 7^2 + 3^2

r^2 = 58

r ≈ 7.6

Therefore, the length of the rope is approximately 7.6 feet, which rounds to 1 decimal place as answer C, 7.6 ft. Using the Pythagorean theorem, we can find the length of the rope:
$length\,of\,rope=\sqrt{(7\,ft)^2+(4\,ft)^2}=7.6\,ft$
Therefore, the nearest tenth of a foot is 7.6 ft, which corresponds to choice C.

Solve. Round to the Nearest Tenth