Question

Alicia is setting up a volley ball court and needs to support the posts with a rope. The volleyball post is 8 feet tall, and Alicia placed a stake 6 feet from the base of the pole. How long does the rope need to be if it is to reach from the top of the pole to the stake?

Answer 1

Using the Pythagorean theorem, the length of the rope needed to support the volleyball post is calculated to be 10 feet, with the pole being 8 feet tall and the stake placed 6 feet from the base of the pole.

Step-by-step explanation:

To find the length of the rope needed for Alicia to support the volleyball post, we can apply the Pythagorean theorem, which is a mathematical principle used to find the lengths of sides in a right-angled triangle. In this scenario, the volleyball pole and the ground form a right angle, and the rope creates the hypotenuse of the triangle. Hence, the rope's length can be calculated using the formula:

c = √(a^2 + b^2)

where:

• a = 8 feet (the height of the volleyball post)
• b = 6 feet (the distance from the post to the stake)

To solve for c, the length of the rope:

c = √(8^2 + 6^2) = √(64 + 36) = √100 = 10 feet

Therefore, the rope needs to be 10 feet long to reach from the top of the volleyball post to the stake.