What I am looking to do is find the percent ownership (public vs. private lands) along per coastline mile (i.e. I only care about the right-most parcels of the polygon. And I do have these separated out). A simple buffer does not retain attributes for me to know the ownership of the adjacent parcel to the left of the coastline. Also since the coastline meanders an intersect does not capture all the parcels.
In one attempt, I converted the polygon to a raster, so that I could use the "Expand" tool to extend out to the line. But when I did so, the expansion seemed to run off at a 45 degree angle (Figure below), which does not capture the true length of the polygon parcels.
An example output of what I am looking for is below. This is a section where the original coastline line crossed the parcels and an "Intersect" was done. This new intersect polyline is symbolized by color (e.g. green = public). With this, the length of each segment can be totaled for the entire coast and used to determine percent ownership.
Any ideas on how to keep the raster expansion bounded to the parcel dimensions, or other ways about going at this will be extremely helpful! These images are a subset of one county - and I am looking to do this for 14 others. Using Arc 10.4.