Question

Find x.
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Answer 1

You can use the law of sines, which states that a side length over the sine of its opposite angle is constant for all side-angle pairs in the triangle. The angle opposite the x has to be 30 degrees since the sum of all the angles in a triangle is 180. So:
\[\frac{ 3 }{ \sin 60 } = \frac{ x }{ \sin 30 }\]