Question

find the value of sin x rounded to the nearest hundredth, if necessary.
answer attempt 1 out of 2
sin x =

Explanation:

Step1: Recall the sine formula

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). For \(\angle X\), the side opposite to \(\angle X\) is \(YZ = 12\), and the hypotenuse is \(XZ=30\).

Step2: Calculate \(\sin X\)

Using the formula \(\sin X=\frac{YZ}{XZ}\), substitute \(YZ = 12\) and \(XZ = 30\). So, \(\sin X=\frac{12}{30}\).
Simplify \(\frac{12}{30}=\frac{2}{5}=0.4\)

Answer:

\(0.4\)