precal question

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 = 23,    b = 14,    ∠A = 115°

∠B =
∠C =
c =

Answer 1

sin 115/23 = sin B/14

sin B = 14*sin 115/23

sin B = 0.5517

<B = Arcsin(0.5517) = 33.5

<C = 180 = 115 - 33.5 = 31.5

sin 31.5/C = sin 115/23

sin 31.5 * 23/ sin 115 = c

c = 13.3