So,
We're going to find the value of side AB first:
Using the pythagorean theorem, we got:
[tex]\begin{gathered} (AB)^2=(37)^2-(12)^2 \\ (AB)^2=1369-144 \\ (AB)^2=1225 \\ AB=\sqrt[]{1225} \\ AB=35 \end{gathered}[/tex]
Now, remember that the tangent function is the ratio between the opposite side of the angle given and its adjacent side. Then,
[tex]\tan (C)=\frac{35}{12}[/tex]
Therefore, the correct answer is B.
