Question

find the trig ratio. tan θ = ?

Explanation:

Step1: Recall tangent ratio definition

In a right triangle, the tangent of an acute angle $\theta$ is defined as the ratio of the length of the opposite side to the length of the adjacent side. So, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify opposite and adjacent sides

For angle $\theta$, the side opposite to $\theta$ has length 8, and the side adjacent to $\theta$ has length 15.

Step3: Calculate $\tan\theta$

Substitute the lengths into the tangent ratio formula: $\tan\theta = \frac{8}{15}$.

Answer:

$\frac{8}{15}$