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SSAT Upper Level
Quantitative (Math)

Triangle Side Length Calculation Using Law of Sines

Very Hard Geometry And Measurement Trigonometry

In triangle ABC, angle A measures 30 degrees, and the length of side a (opposite angle A) is 8 units. Given that angle B measures 60 degrees, calculate the length of side b (opposite angle B).

Use the Law of Sines, which states that for any triangle, the ratio of a side to the sine of its opposite angle is constant:

$$ \f\frac{a}{\sin A} = \f\frac{b}{\sin B} $$

Hint

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