Trigonometry mainly but also geometry, algebra.
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For a start, try converting everything to sines and cosines.
Law of sines or cosines SinA/a=SinB/b=SinC/c
Having sufficient angles or sides one can use either, The Law of Sines, or, The Law of Cosines. Google them.
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It helps, in this type of problem, to convert all trigonometric functions to sines and cosines. As a reminder, tan(x) = sin(x) / cos(x).