Physics have formulas and gives you general knowledge of sciences and allows you to apply mathematics that you'll need to exploit no matter what type of engineering you are in.

That psychology sounds like an option course, but yeah, that's completely irrelevant. I mean, I guess you could always try to apply it to social situations with your co-workers and clients, though.

I'm pretty sure almost everyone has to take real-estate economics because the present/future value formulas are useful for your employer where you'll need to determine the value of any engineering investment projects before the managers give the green light to go.

Finally, from what I know, your line of work sounds very much like geomatics engineering over here. I always thought that geomatics was a branch of civil engineering. Of course, as you know, civil and mechanical engineering are closely related on a general level.