I just wanted to say thanks so much for the solution you posted. I have been trying all sorts of tools trying to move a shoreline feature a certain distance and angle. I tried buffer, copy parallel, it feels like the works but none of the tools provided the results I needed. Basically I needed a line from a point onshore to be a certain distance which seems so easy but when you buffer and measure at a latitude from the point on shore to the buffered line it is not the correct distance. So I tried the workflow you provided and it worked!!!
Thanks SO much!,
Kathy