3 angles in a triangle add up to 180.
Thus, we can write:

Solving for C:
118 + C = 180
C = 180 - 118
C = 62
Now,
shortest side of a triangle is opposite to smallest angle,
and
longest side of a triangle is opposite to largest angle.
Looking at the pic,
Shortest Distance is side opposite of 48 degree angle, and that is:
Melanie's to Lily's house
Answer is B