Question

The tree is ____ ft tall. (Round to the nearest tenth) Pythagorean Theorem

Answer 1

The tree is 32.45 ft tall.

Explanation:

We have that the Pythagorean theorem is given as follows

`\begin{gathered} c^2=a^2+b^2 \\ \text{ in this case} \\ c=35.75 \\ a=15 \\ b=h \end{gathered}`

Replacing and solving for h:

`\begin{gathered} 35.75^2=15^2+h^2 \\ h^2=1278.0625-225 \\ h=\sqrt[]{1053.0625} \\ h\cong32.45 \end{gathered}`