To find the length of the cable, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the height of the pole is 20 ft and the distance from the base to the anchor point is 10 ft. Let's call the length of the cable x.
We can set up the equation as follows:
x^2 = 20^2 + 10^2
Simplifying, we have:
x^2 = 400 + 100
x^2 = 500
Taking the square root of both sides, we get:
x = √500
Using a calculator, the approximate value of √500 is 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
17.3 ft.
17.3 ft.
500 ft.
500 ft.
300 ft.
300 ft.
22.4 ft.
1 answer
1 answer