Answer: 22.1°
Step-by-step explanation:
Applying law of sines, we have:
8² = 19² + 14² - 2*14*19 * Cos(x)
64 = 557 - 532*cos(x)
64 - 557 = -532*cos(x)
-493 = -532*cos(x)
Divide both sides by -532
-493/-532 = cos x
0.926691729 = cos x
x = cos^-1(0.926691729)
x = 22.1° (nearest tenth)
