Solve.
-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 5 feet from the bottom of the pole. To the nearest tenth of a foot, find the length of the rope.
A) $3.5 \mathrm { ft }$
B) $74 \mathrm { ft }$
C) $4.9 \mathrm { ft }$
D) $8.6 \mathrm { ft }$

Question

Quizplus · Accepted Answer

The problem describes a right-angled triangle with one leg measuring 7 feet (the height of the pole) and the other leg measuring 5 feet (the distance from the pole to the stake). To find the length of the rope, which is the hypotenuse, we use the Pythagorean theorem: $a^2 + b^2 = c^2$, where $a = 7$ feet, $b = 5$ feet, and $c$ is the length of the rope. Solving for $c$, we get $c = \sqrt{7^2 + 5^2} = \sqrt{49 + 25} = \sqrt{74}$, which is approximately $8.6$ feet to the nearest tenth.

Solve -Scott Set Up a Volleyball Net in His Backyard 3.5ft3.5 \mathrm { ft }3.5ft

Solve
-Scott Set Up a Volleyball Net in His Backyard $3.5 \mathrm { ft }$