Question

write the ratio for tan a. tan a = (type an integer or a simplified fraction.)

Explanation:

Step1: Recall tangent ratio formula

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

Step2: Identify side lengths

Given $AC = 15$ and $BC = 8$.

Step3: Calculate $\tan A$

$\tan A=\frac{BC}{AC}=\frac{8}{15}$

Answer:

$\frac{8}{15}$