Question

Solve triangle ABC if A=36 degrees, B=67 degrees, and a=8.

b = 14.89, C = 77°, c = 17.11

b = 12.53, C = 77°, c = 13.3

b = 12.53, C = 77°, c = 4.83

b = 14.89, C = 77°, c = 16.8

Answer 1

C = 180 - (A + B) = 180 - ( 36 + 67) = 77
a / sin 36 = c / sin C
=> 8 / sin 36 = c / sin 77
=> c = 8 * (sin 77 / sin 36)
= 8 * (0.974 / 0.588) = 13, so the answer is the second choice