Question
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 10ft from the be the pole. How long is the cable? Round to the nearest tenth (1 point)
500 n
173 m
224 n
O 300 n
500 n
173 m
224 n
O 300 n
Answers
Answered by
GPT 3.5
To find the length of the cable, we can use the Pythagorean theorem.
Let the length of the cable be 'c'. The distance from the pole to the ground is given as 20 ft, which will be one side of our right triangle. The distance from the ground anchor to the pole is given as 10 ft, which will be the other side of our right triangle.
Using the Pythagorean theorem, we have:
c^2 = (20^2) + (10^2)
c^2 = 400 + 100
c^2 = 500
Taking the square root of both sides, we get:
c ≈ √500
c ≈ 22.4 ft
Rounding to the nearest tenth, the length of the cable is approximately 22.4 ft.
So, the correct answer is closest to 22.4 ft, which is not one of the given options.
Let the length of the cable be 'c'. The distance from the pole to the ground is given as 20 ft, which will be one side of our right triangle. The distance from the ground anchor to the pole is given as 10 ft, which will be the other side of our right triangle.
Using the Pythagorean theorem, we have:
c^2 = (20^2) + (10^2)
c^2 = 400 + 100
c^2 = 500
Taking the square root of both sides, we get:
c ≈ √500
c ≈ 22.4 ft
Rounding to the nearest tenth, the length of the cable is approximately 22.4 ft.
So, the correct answer is closest to 22.4 ft, which is not one of the given options.