In ABC,

a = 3, c = 19

A. m

We will use the Pythagorean theorem:

b² = 19² - 3² = 361 - 9 = 352

b = √352 = 18.76 ≈ 18.8

sin A = 3 / 19 = 0.15789

m ∠ A = sin ^ (-1) 0.15789 = 9.08° ≈ 9.1°

m ∠ B = 90° - 9.1° = 80.9°

Answer:

A) m∠ A = 9.1°, m∠B = 80.9°, b = 18.8