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Find the missing side lengths. Leave your answers as radicals in simplest form. Options: a) x=39​,y=60 b) x=33​,y=30 c) x=51​,y=60 d) x=33​,y=90

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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.

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