Straight ahead is pretty much dead on NE. I'm located at 174 deg 45'51"E 41 deg 18' 10"S. (Give or take the odd second. Don't really need to give away my exact address in a public place, however obscure.)
If you fire up google Earth, you can pick out Somes Island and the Hutt valley quite easily.
Got it. Google Earth has *great* coverage of Wellington. I'm looking at the gantry cranes right now, with Waterloo Quay road behind them, and some kind of stadium to the north. I'm correlating the view from above with your view from hilltop level.