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31-01-2022
Mathematics

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A 20-ft ladder is placed against the side of a house. The bottom of the ladder is 12 feet from the house. How high up will the ladder reach on the wall?

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31-01-2022

Use Pythagorean theorem to solve this problem.

[tex]a^{2}\ +\ b^{2}=c^{2}\\\\b^{2}=20^{2}-12^{2}\\\\b^{2}=400-144\\\\\sqrt{b^{2}} =\sqrt{256}\\\\b=16\ ft[/tex]

The ladder will reach 16 ft up the wall.

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