What are the other lines coming out the top of that piping? IE : The one thats fully exposed, and the one disappearing into the wall.
It should be no big deal to hook up a utility sink there, but you'll need to vent it somehow, hence my asking about the other two lines.
first off, your elevation with a utility sink can be a problem. We normally rough our drains in at 16". Too much higher and you won't be able to hook up to the tailpiece on the sink.
The way I would do it :
1: Cut in a 2"x2"x2" Sanitary tee as low as possible, and point it horizontally in the direction of the area you want to install the sink.
2: Run a 2" drain line on grade 1/4" per foot toward where you want to install your utility sink.
3: Use a 2" Long sweep 1/4 bend to turn your horzontal drain into a vertical drain. USE A LEVEL! (torpedo's work great)
4: above the long sweep, cut in a 2" x 1-1/2" x 1-1/2" sanitary tee. 2" side down, 1-1/2" side sticking out perpendicular to the wall, and the other 1-1/2" outlet to be used for vent.
5: route your 1-1/2" vent to another accessible vent, travel only uphill from the fixture, or flat. No opposite grade allowed.
Clear as mud?
Edit : it looks like there's a cleanout in the floor too. Is that one functional? If not, you can always cut a new cleanout fitting above where you cut in your sanitary tee on that drain.
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