Final answer:
The missing side lengths are x = 33 and y = 30.
Step-by-step explanation:
To find the missing side lengths, we can use the given information and apply trigonometric ratios. In the problem, we are given the equation tan(theta) = y/x. We can use this equation to solve for y and x.
Given that tan(theta) = y/x, and the values of y and x are unknown, the solution (b) is correct.
Therefore, the missing side lengths are x = 33 and y = 30.