a 26 feet rope is used to brace a tent pole at the county fair the rope is anchored 10 feet from the box of the pole how tall is the tent pole

The explanation of the problem is as shown in the figure.

So, the rope represents the hypotenuse of a right triangle.

and the tent pole is one of the legs of the right triangle.

let the length of the tent pole = x

and by using Pythagorean equation

∴ x² = 26² - 10² = 576

∴ x = √576 = 24 feet

So, the length of tent pole = 24 feet