
Big, vigorous and shallow near the surface, exactly as you would expect from a floodplain species, and the standard guidance is to keep it well away from walks, drives and foundations. Note that the setback advice is often misunderstood: roots cannot crack a sound sewer lateral, they only exploit joints that are already failing, so the honest reason not to plant one over a line is that you do not want to remove a mature sycamore the day that line needs excavating.
Normal mature size is 75-100 ft with an equal or greater spread; exceptional trees exceed 150 ft with trunk diameters over 10 ft, and the species routinely lives past 250 years. This is the top of the residential removal bracket — a mature sycamore over a house is a crane job by default, and the trunk alone can yield more wood volume than every other tree on the property combined.