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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

Respuesta :

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

[tex]\begin{gathered} \frac{15ft}{6ft}=\frac{x}{6ft} \\ x=\frac{6ft\times15ft}{6ft} \\ x=15ft \end{gathered}[/tex]

Then, the height of the wall is 15 ft.

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