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SSAT Upper Level
Quantitative (Math)

Find Side Length Using Law of Sines

Hard Geometry And Measurement Trigonometry

In triangle ABC, angle A measures 30 degrees, and angle B measures 60 degrees. Side a, opposite angle A, measures 10 units. Using the Law of Sines, calculate the length of side b, which is opposite angle B. The Law of Sines states that:

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

Find the length of side b to the nearest hundredth.

Hint

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