Precalculus, Chapter 6, 6.1, Section 6.1, Problem 15

Given: A=55^@, B=42^@, c=0.75
The Law of Sines: a/sin(A)=b/sin(B)=c/sin(C)

C=180-55-42=83^@

a/sin(55)=b/sin(42)=0.75/sin(83)

a/sin(55)=0.75/sin(83)
a=[0.75sin(55)]/sin(83)
a=.62

b/sin(42)=0.75/sin(83)
b=[0.75sin(42)]/sin(83)
b=.51