windbreaker31 windbreaker31

13-07-2022
Mathematics

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Jeff places a 13 ft ladder against a wall. The base of the ladder is 5 ft from the wall. How high on the wall does the ladder reach?

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jimthompson5910 jimthompson5910

13-07-2022

Answer: 12 feet

Work Shown:

[tex]a^2+b^2 = c^2\\\\5^2+b^2 = 13^2\\\\25+b^2 = 169\\\\b^2 = 169-25\\\\b^2 = 144\\\\b = \sqrt{144}\\\\b = 12\\\\[/tex]

I used the pythagorean theorem.

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