Depends on if they are alpha or beta.I've read that blacks have the worst results/are the least desirable in the dating market, at least in the US. Black women rank last, but black men don't fare much better.
The online dating data pretty much lines up with what I've seen in social circles and nightlife: blacks have the worst dating results of all the races.
the alpha black guys get tons of hot women. Just look at NFL players like RG3.
as for height, if you have money it can compensate for lack of height. It can also compensate for being fat.