find the tangent of x. $\tan(x^{circ}) = \frac{?}{}$ simplify completely. remember: soh-cah-toa

Explanation:

Step1: Recall tangent definition

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

Step2: Identify sides for $x^\circ$

Opposite side to $x^\circ$: $20$, Adjacent side to $x^\circ$: $21$.

Step3: Substitute into tangent formula

$\tan(x^\circ) = \frac{20}{21}$

Answer:

$\frac{20}{21}$