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

ANSWER:
The tree is 32.45 ft tall.
STEP-BY-STEP EXPLANATION:
We have that the Pythagorean theorem is given as follows
[tex]\begin{gathered} c^2=a^2+b^2 \\ \text{ in this case} \\ c=35.75 \\ a=15 \\ b=h \end{gathered}[/tex]Replacing and solving for h:
[tex]\begin{gathered} 35.75^2=15^2+h^2 \\ h^2=1278.0625-225 \\ h=\sqrt[]{1053.0625} \\ h\cong32.45 \end{gathered}[/tex]