Did you make that hole?
There is an antenna tilt thread but it don't really get that specific about the line of tree's senario.
This website page I noted seems pretty specific though - point your UHF antenna at the visible horizon. In my case this would be the tops of the trees some 50 yards away.
http://www.hdtvprimer.com/ANTENNAS/siting.html
Still curious what the resident experts have to say about this.