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Suppose I have 250 raster and my only concern is just a single point. The raster is arranged by ascending date. So if I extract a point value based on the order into one single file then I can graph it just easily.
How do I do it using ArcGIS Desktop?
The extract multi values to points tool is for this exact situation. The fact that you have only a single point is irrelevant, unless you have it in a feature class with other points. Then, of course, just select it and export it to a new feature class or set a definition query on your layer before running the tool.
