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 8 feet high. To secure the pole, he attached a rope from the top of the pole to a stake 11 feet from the bottom of the
Pole. To the nearest tenth of a foot, find the length of the rope.
A) 185 ft
B) 7.5 ft
C) 4.4 ft
D) 13.6 ft

Question

Quizplus · Accepted Answer

We can use the Pythagorean theorem to solve for the length of the rope. Let x be the length of the rope.

$8^2 + (11-x)^2 = x^2$

Simplifying this equation, we get:

$64 + 121 - 22x + x^2 = x^2$

$22x = 185$

$x = 8.4$

Rounding to the nearest tenth, we get the length of the rope to be 13.6 feet, which is answer choice D. Using the Pythagorean Theorem, the length of the rope can be found using the equation: (length of rope)^2 = (height of pole)^2 + (distance from stake to bottom of pole)^2. Plugging in the given values, we get: (length of rope)^2 = (8 ft)^2 + (11 ft)^2. Solving for the length of the rope, we get: length of rope = √(8^2 + 11^2) = 13.6 ft (rounded to the nearest tenth). Therefore, the correct answer is option D.

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