Question

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

Step1: Recall Sine Definition

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

Step2: Apply Sine Formula

Using the formula, $\sin X = \frac{YZ}{XZ} = \frac{12}{30}$.

Step3: Simplify the Fraction

$\frac{12}{30} = 0.4$.

Answer:

$0.4$