An electric pole has a support cable that is attached to the pole 20 ft. from the ground. The cable is anchored on the ground 10 ft. from the base of the pole. How long is the cable? Round to the nearest tenth.(1 point)

Question

Responses

500 ft.
500 ft.

300 ft.
300 ft.

17.3 ft.
17.3 ft.

22.4 ft.

Answer 1

To find the length of the cable, we can use the Pythagorean Theorem.

Let x represent the length of the cable.

Using the Pythagorean Theorem, we have:

x^2 = 20^2 + 10^2
x^2 = 400 + 100
x^2 = 500

Taking the square root of both sides, we get:

x = √500

Rounded to the nearest tenth, the length of the cable is 22.4 ft.

Therefore, the correct answer is 22.4 ft.