Let's analyze the top left triangle ABC, where angle B is 30 degrees, the hypotenuse AB is 18, and angle C is 90 degrees. We need to find the length of side AC, which is opposite to angle B.
We can use the sine function to find the length of side AC:
$$\sin(B) = \frac{AC}{AB}$$
$$\sin(30^{\circ}) = \frac{AC}{18}$$
We know that $$\sin(30^{\circ}) = \frac{1}{2}$$, so we can substitute this into the equation:
$$\frac{1}{2} = \frac{AC}{18}$$
Now, we can solve for AC:
$$AC = 18 \cdot \frac{1}{2}$$
$$AC = 9$$
Answer: 9