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PSAT/NMSQT
PSAT Math Test - No Calculator Section

Calculate Side Length Using Law of Sines

Very Hard Additional Topics In Math Geometry

In triangle ABC, angle A measures 30 degrees, and the length of side BC is 10 units. Side AB is designated as side a, side AC as side b, and side BC as side c. Using the Law of Sines, calculate the length of side a (the length of side opposite angle A). Provide your answer in the grid-in format, rounding to two decimal places if necessary.

Remember, the Law of Sines states:

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

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