Near noon sun is angled closer to 90°, but in higher latitudes it's a lower angle. For example at noon it's 60° on first day of summer in Berlin and 30° at 7am when it's at 0° east. So it may be possible to have a building that would be longer on EW axis and narrower on NS axis. With possible shift for every floor allowing some flexibility.

Is it all for nothing? I imagine such building could be closer to city centers, but would have to face sun at premium. Maybe even integrated with regular buildings from south side?