Question

a 13ft ladder leans against the side of the house. the bottom of ladder is 10ft from the side of the house. how high is the top of the ladder from the ground . round your answer to the nearest tenth.

Answer 1

we know that

In the right triagle of the figure

Applying the Pythagorean Theorem

Let

h ------> the hight of the top of the ladder

$\begin{gathered} 13^2=h^2+10^2 \\ 169=h^2+100 \\ h^2=169-100 \\ h^2=69 \\ h=8.3\text{ ft} \end{gathered}$

therefore

the answer is 8.3 ft