Explanation:
Law of Cosines
c^2 = a^2 + b^2 - 2 ab cosΦ
for this example c = 8 a = 16 b = 17 Φ= Angle C
you are trying to solve for Angle C
8^2 = 16^2 + 17^2 - 2 (16)(17) cos C
-481 = -2 (16)(17) cos C
.88419 = cos C
arccos ( .884190 ) = C = 27.8 degrees