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Finding distance between two points using two angles

http://www.mathhelpforum.com/math-he...8&d=1295366239

Hello, I'm looking for help in learning to solve this kind of problem. I want to know the distance between point A and point B, the length of X, and the length of Y (assuming that X and Y intersect at a right angle), using the information I have to start with (everything in blue).

If anybody can make sense of this, please help! I'm stumped, I'm an absolute idiot in mathematics (especially trigonometry) but I'm pretty sure I can follow along if the steps are basic enough.

Thanks in advance!