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 = (asin C)/sin A
c = 29.157 = 29.2
Therefore, among the choices, the correct answer is D.
