find: tan b *the figure is not drawn to scale*

Explanation:

Step1: Recall tangent - ratio definition

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For $\angle B$, the opposite side to $\angle B$ is the side with length 16 and the adjacent side is the side with length 12.

Step2: Calculate $\tan B$

$\tan B=\frac{16}{12}=\frac{4}{3}$

Answer:

$\frac{4}{3}$