



 
Hi Casey, The key to this problem is that in any triangle with angles that measure 30, 60 and 90 degrees the lengths of the sides are in the ratio of $1: 2: \sqrt{3}.$ I drew a diagram of with the center of the circle at $C$ and added a line segment from $C$ to $A,$ one of the vertices of the triangle. Can you complete the problem now? Write back if you need more assistance,  


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