#### Answer

$\tan(A)=\frac{4}{3}$

#### Work Step by Step

The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side. The side opposite $A$ has a measure of $8$, and the side adjacent to $A$ has a measure of $6.$ When we write these in a ratio, we get $\frac{8}{6}$, which simplifies to $\frac{4}{3}$.