Question

A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up the wall will the ladder reach?

Answer 1

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

$a^2 + b^2 = c^2$

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In this case, the ladder is c, and the base is b.

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Plug the numbers in the formula.

$a^2 + 7^2 = 25^2$

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Solve.

$a^2 + 49 = 625$

$a^2 -49 = 625 - 49$

$a^2 = 576$

$\sqrt{a^2} = \sqrt{576}$

$a = 24$