In triangle ABC, angle B is 30⁰, b = 5 and c = 8. Determine how many distinct triangles

can be drawn given the measurements.

sin B / 5 = sin C / 8

8(1/10) = sin C
C = 53 deg
then A = 180 - 30 - 53 = 97 deg
sin 97/a = sin 30 / 5 = 1/10
a = 10 sin 97 = 9.9