# Lorendo needs to run a wire from the top of a telephone pole to a stake on the ground 10 meters from the base of the pole. Does she have enough wire if the pole is 14 meters tall? If not how much does she need?

Oct 30, 2015

She would need $17.20465$ meters (I wouldn't suggest doing it with less than $18$ meters).

#### Explanation:

Note: you forgot to mention how much wire Lorendo has.

The amount of wire required (ignoring wire required to wrap around a ground stake and the top of the pole)
is the hypotenuse of a triangle with arms $14$ and $10$ meters.

Using the Pythagorean Theorem (and a calculator) this value is
$\textcolor{w h i t e}{\text{XXX}} 17.20465$ meters.