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Help with setting up problem

In the problem we are asked to solve for x and y. I can solve for the triangles but not able to use them to find the answer. can someone guide me.


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In triangle BCD:
<br>angle DBC = 53/2 = 26.5 degree
<br>BC = radius/tan(26.5) = (0.75/2)/tan(26.5) =(0.75/2)/0.49858 = ...