Find the measure of B in the triangle where C = 30º, c = 22 and b = 42?

Question

a 72º,40'

b 77º, 20'

c 72º, 40' and 107º, 20'

d No triangle possible

Answer 1

The triangle is possible. In fact there are 2 such triangles. Using Law of Sine:

sinB/sinC = b/c

sinB/sin30 = 42/22

sinB = 21/22

B = arcsin(21/22) or 180 - arcsin(21/22)