Answer
cot $B = \frac{12}{9}$
Work Step by Step
If the cotangent ratio is the inverse of the tangent ratio, then we just reverse the sides in the tangent ratio to get the cotangent ratio.
If tan $B$ = $\frac{opposite}{adjacent}$, then:
cot $B$ = $\frac{adjacent}{opposite}$.
.
Let's look at $\angle B$. The side opposite to $\angle B$ has a length of $9$, and the side adjacent to $\angle B$ has a length of $12$.
cot $B = \frac{12}{9}$
