Question

This problem refers to triangle ABC. If B = 150°, C = 20°, and c = 21 inches, find b. (Round your answer to the nearest whole number.)

b = ? in

Answer 1

b = 31 in

Explanation:

You want the length of side b in ∆ABC with B = 150°, C = 20°, c = 21 in.

Law of sines

The law of sines tells us ...

b/sin(B) = c/sin(C)

b = c·sin(B)/sin(C) = (21 in)·sin(150°)/sin(20°) ≈ 31 in

The length of side b is about 31 inches.

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