Question

Lorrie places a 25-foot ladder against the side of a building with the bottom of the ladder 7 feet from the base of the building. How high up the wall does the ladder reach?The ladder reaches feet up the wall

Answer 1

Let's use a diagram to represent the question below

using Pythagoras theorem we can find how high up the ladder reaches the wall.

`\begin{gathered} x^2=25^2-7^2 \\ x^2=625-49 \\ x^2=576 \\ x=\sqrt[]{576} \\ x=24\text{ ft} \end{gathered}`

The ladder reaches 24 ft up the wall.