To find the length of the cable needed to support the volleyball net post, we can use the Pythagorean theorem.
- The vertical distance from the hook above the court surface to the floor is 4 ft.
- The horizontal distance from the post to the hook in the floor is 3 ft.
You can visualize this situation as a right triangle, where:
- One leg (vertical) is 4 ft,
- The other leg (horizontal) is 3 ft,
- The length of the cable (hypotenuse) is what we need to find.
Using the Pythagorean theorem:
is the length of the cable, is the vertical distance, is the horizontal distance.
Substituting the values:
Thus, the length of the cable should be 5 ft.
The correct response is: 5 ft.