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1 Answer

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This can be solve using the pythagorean theorem. In this case the hypotenuse will be the length of the ladder and the distance from the house is one leg.

The other leg will be the height.

Using the theorem we have:


\begin{gathered} h^2+4^2=20^2 \\ h^2=400-16 \\ h^2=384 \\ h=\sqrt[]{384} \\ h=19.5959 \end{gathered}

Therefore the height will be approximately 19.596 ft and the answer is the second option.

User Llona
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