First, in order to find the length of side w, you must first find the angle W.
A triangle must be 180 degrees in total. 93 + 37 makes the triangle only have 130 at the moment.
180 - 130 = 50
So angle W is 50 degrees
Now using this, we can use law of sines.
[tex] \frac{w}{sin50} = \frac{31}{sin37} [/tex]
Now multiply sin 50 on both sides. It can be written like so:
[tex] \frac{31sin50}{sin37} [/tex]
Now plug this in a calculator.
Answer is 39.5
