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Please answer the following questions correctly. If the question isn’t clear.. it states:*13-ft ladder leans against the side of a house. The bottom of the ladder is 8 ft from the side of thehouse. How high is the top of the ladder from the ground? If necessary, round your answer to thenearest tenth.*

Please answer the following questions correctly If the question isnt clear it states13ft ladder leans against the side of a house The bottom of the ladder is 8 class=

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SOLUTION;

We shall use Pythagoras' Theorem to solve this question;

[tex]\begin{gathered} a^2+b^2=c^2 \\ rewritten\text{ }as \\ a^2=c^2-b^2 \end{gathered}[/tex]

Here, a = ? , b = 8ft and c = 13ft;

Therefore,

[tex]\begin{gathered} a^2=13^2-8^2 \\ a^2=169-64 \\ a^2=105 \\ a=10.3ft \end{gathered}[/tex]

Thus, the top of the ladder is 10.3 feet above the ground.

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