ZW17, I have ongoing experience with this. I talked to my neighbor about his barking dog. Even though I was very polite, it completely ruined an ok relationship. He was very angry, and basically said that's what dogs do - bark. If there is a dog ordanance call the police from your cell phone or a pay phone and hope that they don't tell your neighbor who complained. Some neighbors near me have been having dog issues. One was a barking dog. The owner never understood or cared that the dog barked nonstop. Since the owner was away and couldn't hear the dog, she assumed the complaints were bogus. The other issue was dogs roaming the neighborhood and crapping on just about everyone's lawn. I am good friends with the crapper. He was so angry when someone complained that he couldn't hardly breath.
In short, I have never heard of a dog owner who when confronted with their dog's barking says, 'I'm sorry, I'll take care of that.' See if you can handle it in some other way.