Okay, here we have this:
Considering the provided triangle which is a right triangle, we are going to use the pythagorean theorem to find the measure of the missing side, so we obtain the following:
![\begin{gathered} h^{}=\sqrt[]{a^2+b^2} \\ x=\sqrt[]{35^2+12^2} \\ x=\sqrt[]{1225+144} \\ x=\sqrt[]{1369} \\ x=37 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/fndxy2yh8q8w2nhyrzcwfca2bncmfwveap.png)
Finally we obtain that the correct answer is the first option.