Law of Sines

sigma=27 deg 30'
c= 52.8
a=28.1

Please show two solutions (beta1, beta2,...) due to acute and obtuse angles.

Thank you so much for helping!

1 answer

No idea which angle sigma is, but I'll assume it's C, since otherwise you'd probably have used alpha.

sinA/a = sinC/c
so,
sinA/28.1 = .4617/52.8
sinA = .2457
A = 14.2° or 165.3°

Now you can find B and b.