Answer:
38 in
Step-by-step explanation:
The remaining angle in the triangle formed by the two sides and the diagonal is ...
... 180° - 37°10' -49°20' = 93°30'
The law of sines tells you the longest side (s) is opposite the largest of the given angles, so satisfies the proportion ...
... s/sin(49°20') = (50 in)/sin(93°30')
... s = (50 in)·sin(49°20')/sin(93°30') ≈ 37.9966 in ≈ 38 in
