Question

Find the length of side x to the nearest tenth.

Answer 1

Answer:

$x=18$

Step-by-step explanation:

In any right triangle, the sine of an angle is equal to the angle's opposite side divided by the hypotenuse.

Therefore, we have the following equation:

$\sin 30^{\circ}=\frac{9}{x},\\\frac{1}{2}=\frac{9}{x},\\x=9\cdot 2=\boxed{18}$

*Note that $\sin 30^{\circ}=\frac{1}{2}$