How to calculate the height of a specified (by feature) area

Discussion created by hzhenk on Nov 20, 2011
Latest reply on Dec 10, 2011 by hzhenk
I have a raster with heights and a shape-file with polygon-features representing areas.
For each area I would like to know the average height.

What I really would like is that I add a field with a height to each polygon and that ArcGIS calculates the difference in height with the raster for that specific area. More difficult to explain :-)

Finding a solution for the first step would be great.