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SSAT Upper Level
Quantitative (Math)

Finding Length Using Law of Sines

Very Easy Geometry And Measurement Trigonometry

In triangle ABC, angle A is 30 degrees, and the length of side a (opposite angle A) is 5 units. Calculate the length of side b (opposite angle B) using the sine function, knowing that the sine of angle A is given by the formula:

$$ ext{sine}(A) =\frac{ ext{opposite}}{ ext{hypotenuse}} $$

Given that triangle ABC is not a right triangle, you can use the Law of Sines to find the length of side b. Recall that:

$$\frac{a}{ ext{sine}(A)} =\frac{b}{ ext{sine}(B)} $$

Hint

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