Every city, township, village, or whatever, has their rules. Some enforce them, some don't. Around here, most of the cities do enforce their rules. I saw a 2 car freestanding garage (new) have to be torn down because it wasn't allowed and the guy built it anyway. I once moved a 20' x 20' garage, over 3' because it was too close to the property line. I didn't build it, just got paid to move it. It cost the original contractor's bonding company just a few bucks under $10,000, my fee.
So, it's up to you whether or not you want to buck the city. I don't see where the 10' is a deal breaker. Plant a garden if you don't want to get in a jam, store your wood pile there, you get the idea. All I can say is if you have to fight city hall on something like this, you will usually lose. Not worth the aggravation in my opinion.