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 = 21°40',      𝛽 = 115°10',      a = 32.3

𝛾=		°
b=
c=

Answer 1

γ = 180° - α - β = 43°10'

a = 32.3

Use the Law of Sines to find b: sin115°10' / b = sin21°40' / 32.3

bsin21°40' = 32.3sin115°10'

Solve for b.

Use the Law of Sines to find c: sin21°40' / 32.3 = sin43°10' / c

Solve for c.

Answer 2

a=32.3

b=79.18

c=59.85

A=21 degrees 40 minutes

B=115 degrees

C=43 degrees 10 minutes

rounded off to nearest minutes

Use Laws of Sines and Cosines,