Getting flood depth grid values for road segments?

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I have a 2 features, the first contains values for flood depth (Raster, GRID). the other is a road network (vector, polyline) that has been clipped to the boundary of the depth grid. I am racking my brain trying to figure out how to get the maximum flood depth for each road segment where it crosses the Flood Depth GRID and I am unable to come up with a method to achieve this. I am using ArcGIS 10.2 Basic, but do have access to an advanced license if necessary.





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