Question

find the indicated side of the right triangle. x = ?

Explanation:

Step1: Use sine function

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, here $\theta = 30^{\circ}$, opposite side to $30^{\circ}$ is 3 and hypotenuse is $x$. So $\sin30^{\circ}=\frac{3}{x}$.

Step2: Solve for $x$

Since $\sin30^{\circ}=\frac{1}{2}$, we have $\frac{1}{2}=\frac{3}{x}$, then $x = 6$.

Answer:

$6$