In ∆XYZ sin〖X=2/3〗 , sin〖Z=1/4〗 and the length of side X is 31 find the length of side Z.
Using the Law of Sines, we have
31 / sin X = Z / sin Z
31 / (2/3) = Z / (1/4) simplify
93/2 = 4Z divide both sides by 4
93/8 = Z = 11.625