Question

find: tan a
the figure is not drawn to scale

Explanation:

Step1: Recall the tangent formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $A$, the opposite side to angle $A$ is $BC = 6$ and the adjacent side to angle $A$ is $AC=8$.

Step2: Calculate $\tan A$

Using the formula $\tan A=\frac{\text{opposite}}{\text{adjacent}}$, we substitute the values. So, $\tan A=\frac{6}{8}$.

Answer:

$\frac{6}{8}$