Selecting based on distance and change in elevation

Question

I am trying to find areas near a series of roads that are withing 500 ft of the road, and have a change in elevation of +50 ft. I have been provided a 2 ft contour of the area, and a centerline layer for the roads in question. My thought process was to intersect the roads and topo, to create points which I could then create the 500 ft buffer from. From there, I am not sure how to proceed and select from this the areas of elevation im looking for

Answer 1

I would:

1. Make a raster dtm from the contours
2. Use the raster to make the road line 3D
3. Buffer the roadline to make a 500ft 3D Buffer in the same resolution as the dtm
4. Subtract the road-buffer raster from the dtm raster
5. Set all values < 50 in the result to NoData.
6. Convert raster to points.

You now have a point dataset with an attribute that shows how much more than 50ft they are above the road (in a perpendicular distance). There will be other approaches but this one springs first to mind.

Answer 2

1. Convert contours to DEM (Topo to Raster)
2. Change DEM to integer type (Int)
3. Run Euclidean Allocation, where feature source = roads, input value raster = integer DEM, and set maximum distance to 500'
4. Raster Calculator: Con("Integer DEM" - "Euclidean Allocation">50,1,0). Results in binary raster showing pixels where difference is > 50' within 500' of the road. Could also output DEM value.