I have point elevation data and road layers for a region.
How do I show the road sections that are below 10 ft elevations?
I am using ArcGIS Desktop 10.3.1.
Convert your point data to raster data, then to contour lines. Extract both the 10' and the lowest elevation (possibly 0') lines, convert them to polygons and clip your roads using that polygon.
Or, as @Spacedman pointed out, use Kriging and polygonize instead of contour lines.