Using Law of cosines:
8^2 = 14^2 + 19^2 - 2*14*19*cos(x)
Simplify:
64 = 196 + 361 - 532 * cos(x)
Add 532 * cos(x) to both sides:
532 * cos(x) +64 = 196 + 361
Subtract 64 from both sides:
532 * cos(x) = 196 + 361 - 64
Simplify:
532 * cos(x) = 493
Divide both sides by 532:
cos(x) = 493/532
x = arccos(493/532)
x = 22.1 degrees.
