To find the length of the cable, we can use the Pythagorean theorem. Let's represent the length of the cable as "c", the distance from the pole to the ground as "a", and the distance from the anchor point to the base of the pole as "b".
According to the given information, we have:
a = 20 ft
b = 10 ft
The Pythagorean theorem states that for a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
So, we have:
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 get:
c = √500
c ≈ 22.4 ft
Therefore, the length of the cable is approximately 22.4 ft.