an electric pole has a support cable that is attached to the pool 20 feet from the ground. The cable is anchored on the ground 10 foot from the base of the pool. How long is the cable round to the nearest 10th?
To calculate the length of the cable, we can use the Pythagorean theorem.
Let's call the length of the cable "x". The height of the pole, which is 20 feet from the ground, can be considered as the vertical leg of a right triangle. The distance from the base of the pole to the point where the cable is anchored on the ground, which is 10 feet, can be considered as the horizontal leg of the right triangle. Finally, the cable itself acts as the hypotenuse of the right triangle.
Therefore, 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:
x ≈ √500
x ≈ 22.36
So, the length of the cable is approximately 22.36 feet, rounded to the nearest tenth.