Question

A 13-feet ladder is placed 5 feet away from a wall. What is the height at which the top of the ladder reaches the wall?

Answer 1

Draw the situation for a better understanding:

To find the height at which the top of the ladder reaches the wall use pythagorean theorem:

`\begin{gathered} h=\sqrt[]{13^2-5^2} \\ h=\sqrt[]{169-25} \\ h=\sqrt[]{144} \\ h=12 \end{gathered}`

The height at which the top of the ladder reaches the wall is 12 ft.