[isostatic]

Yes, and in the tropics it depends on the time of year. For instance I've just been reading this thread on the walk from the hotel to the office in Nairobi. It's about noon, and the sun was high on my right shoulder, so as it's May I was walking West.

When I did the same walk in February at the same time the sun was high on my left shoulder.

However assuming the sun does rise (i.e. you're not in a polar region near the solstices), it will always rise somewhere to the east (even if it's south-south-east) and set somewhere to the west.