Question

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

Explanation:

Step1: Recall the sine formula

In a right - triangle, \(\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}\). For \(\angle I\), the side opposite to \(\angle I\) is \(GH = 72\), and the hypotenuse is \(IH=97\).

Step2: Calculate \(\sin(I)\)

Using the formula \(\sin(I)=\frac{GH}{IH}\), substituting \(GH = 72\) and \(IH = 97\), we get \(\sin(I)=\frac{72}{97}\).

Answer:

\(\frac{72}{97}\)