Solve the triangle.

A = 33°, a = 19, b = 14

Select one:

a. B = 23.7°, C = 143.3°, c ≈ 23.3

b. B = 23.7°, C = 123.3°, c ≈ 17.5

c. Cannot be solved

d. B = 23.7°, C = 123.3°, c ≈ 29.2

Using the sine law to find the value of angle B:

a / sin A = b / sin B

19 / sin 33 = 14 / sin B

B = arcsin (14 * sin 33 / 19)

B = 23.66° = 23.7°

Since the sum of all interior angles of a triangle is 180 °, we can solve for angle C like so:

C = 180 ° - 23.7° - 33 °

C = 123.3 °

Using sine law to solve for side c:

a / sin A = c / sin C

c = (a*sin C) / sin A

c = 29.157 = 29.2

Therefore, among the choices, the correct answer is D.