Well, it was a trick question, but you got it right.
There was a potential second answer (maybe more) which has to do with the
phrasing I used which said I was one mile from the campus, and could see the
antenna. Well, maybe the antenna was far away (on a mountain top) and I was
out-of-range of the signal.
But my thinking in posing the mind-twister was that I didn't know the FCC had
actually granted three licenses for 87.9 (two translators and KSHR), and only
noticed while doing a search of the FCC database.
www.fcc.gov/mb
on the left side is a box marked "shortcuts"; scroll down to "FM query", and
then click on "start shortcut"