Question

find the length of side ( x ) to the nearest tenth.

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Substitute known values

$\sin(30^\circ)=\frac{x}{3}$

Step3: Solve for $x$

$x=3\times\sin(30^\circ)$
$\sin(30^\circ)=0.5$, so $x=3\times0.5=1.5$

Answer:

1.5