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.