Question

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

Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, \(\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle X\), the side opposite to \(\angle X\) is \(YW = 72\), and the side adjacent to \(\angle X\) is \(XY=65\).

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

Using the formula \(\tan(X)=\frac{\text{opposite}}{\text{adjacent}}\), we substitute the values: \(\tan(X)=\frac{72}{65}\)

Answer:

\(\frac{72}{65}\)