Question

find the value of x.

Explanation:

Step1: Use sine - function definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 30^{\circ}$, the opposite side to the $30^{\circ}$ angle is $x$ and the hypotenuse is 36. So, $\sin30^{\circ}=\frac{x}{36}$.

Step2: Substitute the value of $\sin30^{\circ}$

We know that $\sin30^{\circ}=\frac{1}{2}$. Then, $\frac{1}{2}=\frac{x}{36}$.

Step3: Solve for $x$

Cross - multiply to get $x = 18$.

Answer:

18