In triangle XYZ, angle Y = 45º and angle Z = 60º. If XY = 4, then what is XZ?
Using the Law of Sines
XY / sin Z = XZ / sin Y
4 / sin 60 = XZ / sin 45
4 / (sqrt (3/2)) = XZ / / ( sqrt (2) / 2)
4/sqrt 3 = XZ / sqrt 2
4 sqrt 2 / sqrt 3 = XZ
4sqrt (6) / 3 = XZ