Question

In ABC , a = 3, c = 19 A. m

Answer 1

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