KyrieA151861 KyrieA151861

28-10-2022
Mathematics

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How far away from a wall you must place in 18' ladder in order to reach a roof that is 12' high

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MirabellaG368802 MirabellaG368802

28-10-2022

Let's make a diagram

To find x, we have to use Pythagorean's Theorem

[tex]\begin{gathered} 18^2=x^2+12^2 \\ x=\sqrt[]{324-144} \\ x=\sqrt[]{180} \\ x\approx13.4 \end{gathered}[/tex]

Hence, the ladder is 13.4' away from the wall.

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