Question

1. tan x
2. tan x

Explanation:

Step1: Recall tangent - ratio definition

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$ for an acute angle $\theta$. For $\angle X$ in right - triangle $XYZ$, the side opposite to $\angle X$ is $YZ = 21$ and the side adjacent to $\angle X$ is $XY=20$.

Step2: Calculate $\tan X$

Using the formula $\tan X=\frac{YZ}{XY}$, we substitute $YZ = 21$ and $XY = 20$. So, $\tan X=\frac{21}{20}$.

Answer:

$\frac{21}{20}$