The cable forms a right triangle with the ground and the pole. The vertical side of the triangle represents the height of the pole, which is 20 ft. The horizontal side represents the distance from the base of the pole to the anchor point on the ground, which is 10 ft.
Using the Pythagorean theorem, we can find the length of the cable:
c^2 = a^2 + b^2
c^2 = 20^2 + 10^2
c^2 = 400 + 100
c^2 = 500
Taking the square root of both sides, we find:
c = √500
c ≈ 22.4 ft.
Therefore, the length of the cable is approximately 22.4 ft.
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)
Responses
300 ft.
300 ft.
500 ft.
500 ft.
22.4 ft.
22.4 ft.
17.3 ft.
1 answer