Solve ΔABC. (Round your answers for b and c to one decimal place. Round your answer for 𝛾 to the nearest 10 minutes. If there is no solution, enter NO SOLUTION.)

Question

Solve ΔABC. (Round your answers for b and c to one decimal place. Round your answer for 𝛾 to the nearest 10 minutes. If there is no solution, enter NO SOLUTION.)

𝛼 = 12°30',      𝛽 = 145°10',      a = 32.4

𝛾	=	°  '
b	=
c	=

Answer 1

Using the law of Sines:

𝛼 = 12°30' = 12.5°

b = (Sin(145.167)(32.4))°/Sin(12.5) = 85.50°

c = 180 - a - b = 22.33° = 22° 55'