Question

Solve the triangle.

A = 19°, C = 102°, c = 6

Choices are:

B = 31°, a ≈ 18, b ≈ 15.8

B = 59°, a ≈ 2, b ≈ 5.3

B = 59°, a ≈ 18, b ≈ 15.8

B = 59°, a ≈ 18, b ≈ 5.3

Answer 1

Use law of sines

Answer 2

sin(102 degrees)/6 = sin(19 degrees)/ a

Answer 3

well I know B=59 but I think I doing something wrong

Answer 4

sin(102 degrees)/6 = sin(19 degrees)/ a

6/sin(102 degrees) = a/ sin(19 degrees)

a = (6 * sin(19 degrees))/ sin(102 degrees) = 1.997