Question

trigonometric ratios in right triangles find tan(α) in the triangle.

Explanation:

Step1: Recall tangent ratio

In a right triangle, $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$ to angle $\theta$.

Step2: Identify sides for $\alpha$

For angle $\alpha$, opposite side is $BC = 21$, adjacent side is $AC = 20$.

Step3: Calculate $\tan(\alpha)$

$\tan(\alpha) = \frac{\text{opposite}}{\text{adjacent}} = \frac{21}{20}$

Answer:

$\frac{21}{20}$