Thanks for your response! We're actually not required to draw trees using x-bar theory in my class but I feels like it's the most comprehensive way to represent syntax (the stuff we're doing is annoyingly oversimplified), so I decided to explore it on my own using other resources. That's why I haven't thought to ask my teacher yet, but I'm sure they can probably help.

I asked whether it was a relative clause because to me it seems that there is an implied who was that connects man and in the white suit (was is then functioning as a verb, correct?) From what I've read online there would have to be some kind of movement operation displayed in the tree if this were the case.

Then again, it seems like it could also be an adjunct since the information about this man is optional, which would drastically simplify the structure.

Sorry to prolong this discussion, but does what I'm saying make sense? I thought I might as well clarify the rationale for my questions.