А How high up a vertical wall will a 24-foot ladder reach if the foot of the ladder is placed 10 feet from the wall? Show your work.

asked Mar 26, 2023 15.9k views

9 votes

А

How high up a vertical wall will a 24-foot ladder reach if the foot of
the ladder is placed 10 feet from the wall? Show your work.

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11 votes

Answer:

Pythagorean theorem

you need a 26 foot wall for the ladder to reach

Explanation:

$c {}^(2) = \sqrt{24 {}^(2) + 10 {}^(2) } \\ c {}^(2) = √(576 + 100) \\ c {}^(2) = √(676) \\ c = 26$

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