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
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.
