Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (read description)

Question

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)

a = 50,    b = 107,    ∠A = 56°

find angle B

angle C

and side c

Answer 1

sin B / 107 = sin 56/50

sin B = sin 56/50*107 <--- calculator or table

B = inverse_sine( sin 56/50 * 107) <--- calculator or table

angle C = 180 - 56 - angle B

= 124 - angle B <--- calculator

sin C / c = sin 56/50

cross multiplies:

sin C * 50 = sin 56* c

sin C * 50 / sin 56 = c <--- calculator

DONE