Question

Solve the triangle. A = 48°, a = 32, b = 27

A) Cannot be solved
B) B = 38.8°, C = 113.2°, c ≈ 34.4
C) B = 38.8°, C = 93.2°, c ≈ 43
D) B = 38.8°, C = 93.2°, c ≈ 25.8

Answer 1

c

Explanation:

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Answer 2

C) B = 38.8°, C = 93.2°, c ≈ 43

Explanation:

For triangle: a / sin A = b / sin B = c / sinC

32 / sin 48° = 32 / 0.743

32 / 0.743 = 27 / Sin B sin B = 0.627

B = 38.8°

C = 180 - 48 - 38.8 = 93.2° sin C = sin 93.2° = 0.998

32 / 0.743 = c / 0.998 = 42.98 (≈ 43)