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 formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle X\), the side opposite to \(\angle X\) is \(YW = 77\), and the side adjacent to \(\angle X\) is \(XY=36\).

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

Using the formula \(\tan(X)=\frac{YW}{XY}\), substitute \(YW = 77\) and \(XY = 36\). So, \(\tan(X)=\frac{77}{36}\)

Answer:

\(\frac{77}{36}\)