Using the Law of Cosines
Renaming sides X, Y and Z
A= 27 yards B = 120 yards, and C = 123 yards, what is the sine of B?
cos (B) = (a^2 + c^2 -b^2) / (2 * a * c)
cos (B) = (27^2 +123^2 -120^2) / (2*27*123)
cos (B) = (729 +
15,129
-
14,400) /
6,642
cos (B) = 1,458 / 6,642
cos (B) = 0.2195121951220
cos (B) = 77.32 degrees
