A volleyball net post needs a cable to support it. The hook to attach the cable is 4 ft. above the court surface, and the hook in the floor is 3 ft. from the base of the post. How long should the cable be?(1 point)

Answer 1

The cable needs to be the length of the hypotenuse of a right triangle with one side measuring 4 ft (height of hook above court surface) and the other side measuring 3 ft (distance from base of post to hook in floor).

Using the Pythagorean theorem (a^2 + b^2 = c^2), where a = 4 ft and b = 3 ft:

4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2

Taking the square root of both sides:

c = sqrt(25)
c = 5

Therefore, the cable should be 5 ft long.