Question

find the value of tan(x).

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle X\), the opposite side to \(\angle X\) is \(YZ = 15\), and the adjacent side to \(\angle X\) is \(XY=20\).

Step2: Calculate \(\tan(X)\)

\(\tan(X)=\frac{YZ}{XY}=\frac{15}{20}\). Simplify the fraction \(\frac{15}{20}\) by dividing both the numerator and the denominator by 5. \(\frac{15\div5}{20\div5}=\frac{3}{4}\).

Answer:

\(\frac{3}{4}\)