Question

find the value of \\( \sin l \\) rounded to the nearest hundredth, if necessary.

Explanation:

Step1: Recall the sine formula

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). For \(\angle L\), the opposite side to \(\angle L\) is \(MN = 10\) and the hypotenuse is \(LN=26\).

Step2: Calculate \(\sin L\)

\(\sin L=\frac{MN}{LN}\). Substitute \(MN = 10\) and \(LN = 26\) into the formula: \(\sin L=\frac{10}{26}\approx0.38\) (rounded to the nearest hundredth).

Answer:

\(0.38\)