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 side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's assume that the length of the cable is represented by the variable "x".
According to the problem, the distance from the pole to the ground is 20 ft, and the distance from the base of the pole to the anchor point on the ground is 10 ft.
So, we can set up the following equation:
x² = 20² + 10²
x² = 400 + 100
x² = 500
Taking the square root of both sides of the equation, we find:
x ≈ √500 ≈ 22.4 ft
Rounded to the nearest tenth, 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
1 answer