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.(Round to the nearest whole number as needed)

Answer 1

To solve this problem, we can use pythagorean theorem, in which the hypotenuse will be the length of the ladder, and one of the legs will be that distance between the base of the building and the bottom of the ladder.

Find the height reached by the ladder by replacing the given values.

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

The ladder reaches 24 feet up the wall.