7
QuizMultiple Choice

Trigonometry of General Triangles and Trigonometric Functions — Test

Question 7 • Mathematics III

Law of sines: sine of cap A over A is equal to sine of cap b over b is equal to sine of cap c over c Triangle ABC has measures A is equal to 2 , b is equal to 2 , and m angle cap A is equal to 30 degrees What is the measure of angle cap b ?

Answer
A
45 degrees
B
15 degrees
C
30 degrees
D
60 degrees

Explanation

The Law of Sines gives sin A/a = sin B/b. Since sides a and b are both 2, sin A = sin B. With angle A = 30°, angle B must also be 30° in this triangle. The correct choice is 30 degrees.

AI-written and checked against the verified answer.

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