Question

find \tan(m) given the triangle. enter your answer as a fraction.

Explanation:

Step1: Recall tangent definition

For an acute angle in a right triangle, $\tan(\theta) = \frac{\text{opposite side}}{\text{adjacent side}}$.

Step2: Identify sides for angle $m$

Opposite side to $m$: $21$, adjacent side to $m$: $20$.

Step3: Compute $\tan(m)$

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

Answer:

$\frac{21}{20}$