Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.Round your answers to one decimal place. Below, enter your answers so that ∠A1 is smaller than ∠A2.)

Question

b = 21, c = 38, ∠B = 22°

∠A₁ =

 ∠A₂ =

∠C₁ =

 ∠C₂ =

 a₁₌    a2=

Answer 1

sin 22/21 = sin C / 38

38 * sin 22/ 21 = sin C

0.67785954999069796884612492528788 = sin C

C = arcsin(0.67785954999069796884612492528788)

= 42.676606310219701768007197211065

Then A = 115.32339368978029823199280278894

sin A/BC = sin 22/21

sin A * 21 = sin 22 * BC

sin A * 21 / sin 22 = BC

BC = 50.672006385582407049010763433396