You are right but you have no chance to win

Whatever the fact you believe is technically right. However, the judge in the court never consider those things are the valid arguments. If you are going to fight the ticket in the court room, you have to understand the most important rule in the court before you go in. This rule is - anything you attempt to argue must be presentable materiel. That means the judge will never consider verbal statement from the defendant is true even they swore. The only one who can present verbal statement and the judge would consider true statement is the police. In your case, the distance and the location really doesn't matter to the judge at all. As long as the police make a statement something like "I saw the pedestrian step in the road and the defendant didn't stop and yield....", that is pretty much good enough found you guilty. Challenge the cop can't see from 55 yard or feet means nothing to the judge unless you can present a medical record of the police that his eyes were blind or hurt in that day. Again, whatever you are trying to argue, you need real material not by mouth. If you don't have it, don't waste your time.