Question 287277
This problem can be solved using the Pythagorean theorem.

The Pythagorean theorem states that in any right triagle, {{{A^2 + B^2 = C^2}}}
Where C is the hypotenuse (or the diagonal)

The guy wire is forming a right triangle with the pole and the ground.

A and B represent the sides of the triangle but it does not matter which one so We will set A = 15ft (the given height)
and B = 10ft (Given distance from pole)


Using: {{{A^2 + B^2 = C^2}}}
{{{15^2 + 10^2 = C^2}}} Simplify
{{{225 + 100 = C^2}}} Simplify
{{{325 = C^2 }}} Take the square root of both sides
{{{highlight(18.027 = C)}}}
The guy wire is a little over 18ft long