Question

clue # 10
use the given triangle to fill in the blank.
$\tan x = $
a $\frac{12}{13}$
c $\frac{5}{13}$
b $\frac{12}{5}$
d $\frac{5}{12}$

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 $\angle X$

Opposite side to $\angle X$ is $YZ = 12$, adjacent side is $XZ = 5$

Step3: Calculate $\tan X$

$\tan X = \frac{12}{5}$

Answer:

B. $\frac{12}{5}$