Triangle ABC is an oblique triangle. If angle A equals 57°, angle B equals 73°, and AB equals 24 in, what is the length of AC?

Angle C must  = [180 - 73 - 57 ] = [180 - 130] = 50°

And using rhw Law if Sines, we have.....

AB/sin C  = AC/sin B    →   24/sin(50) = AC/sin(73)   →    AC = 24*sin(73)/sin(50)  = about 29.96 in