Question

A ladder rests against the top of a wall. The head of a person 6 feet talljust touches the ladder. The person is 9 feet from the wall and 6 feetfrom the foot of the ladder. Find the height of the wall

Answer 1

We see that both triangles are similar, so their corresponding sides are proportional. We have

`\begin{gathered} (15ft)/(6ft)=(x)/(6ft) \\ x=(6ft*15ft)/(6ft) \\ x=15ft \end{gathered}`

Then, the height of the wall is 15 ft.