Need a really complicated maths problem?

I need a question/problem which uses the SINE RULE to work it out. It needs to be as complicated as you can make it, not any of the simple stuff. You can add in any other aspect of maths as long as at least some of it needs the sine rule to work it out.
Thanks :)
Update: Oh and I forgot to mention - put the working out and answer with the question.
Update 2: was it not clear from the question that this is not homework, I just need to put a really hard question in a presentation because we have a 10minute time slot to teach the class a certain subject, mine being the sine rule, so I would appreciate if you can just answer the question please??
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