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How far up the wall does the ladder reach (round your answer to the nearest tenth) enter only the numerical answer no label

How far up the wall does the ladder reach (round your answer to the nearest tenth-example-1

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2 votes

Answer: 8.7m

Explanation:

We can use the Pythagorean theorem to solve this,


a^2+b^2 = c^2

We have a (5m) and c (10m) so we're looking for b.

We can rearrange the equation to find b into,


b^2 = c^2-a^2


b^2=10^2-5^2


b^2 = 100-25


b^2=75


b=8.66025404

Rounded to the nearest tenth is 8.7m.

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