Question

find the tangent of ∠x. simplify your answer and write it as a proper fraction, improper fraction, or whole number. tan(x) =

Explanation:

Step1: Recall tangent - ratio formula

In a right - triangle, $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$. For $\angle X$, the side opposite to $\angle X$ is $YW = 24$ and the side adjacent to $\angle X$ is $XY=10$.

Step2: Calculate $\tan(X)$

$\tan(X)=\frac{YW}{XY}=\frac{24}{10}$.

Step3: Simplify the fraction

$\frac{24}{10}=\frac{12}{5}$.

Answer:

$\frac{12}{5}$