I am trying to calculate "fetch" distance between random points and the nearest shorelines in every 22.5 degree direction (e.g., distance at 0 degrees, distance at 22.5 degrees, distance at 45 degrees, etc.) and I am not sure if there is a tool that calculates the distance along a line from the beginning of that line to the first intersection.
I have created lines in each of these directions starting from each random point using the Bearing Distance to Line tool. Total length of each line was set to 100 miles so that it would more than cover the largest shoreline distances in the study area. The random points (500 total) were placed along the shoreline (a polyline feature) in the Breton Sound of Louisiana.
The Near, Split Line, Intersect, and Linear Ref Tools don't seem to work for what I want to do. Any ideas?