What is an "adult"? Do you feel like one?

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In my culture there's no line to mark the difference between being a child and being an adult. Even after I became an adult by age I still felt like I was, and still am, a child. Even now, after I have responsibilities and people depending on me I actually don't feel like an adult at all. Once there was a hurricane (a tropical cyclone with lots of winds and rain) it was the middle of the night and I remember that some of the windows were trembling really hard (they were crystal ones), I woke up scared and when I looked outside my father was under the rain nailing wood over them to protect them from the wind and thrown objects. After he was done he came inside all soaked up and smiled at me. That image is what I believe an adult is, however I haven't done anything like that in my life so I don't really feel like an adult. However even if I don't feel like one, it seems I'm an adult. I remember the first time I was making groceries and some schoolgirl called me "sir", it was bizarre. In my mind I wasn't any different from what I was when I had 10 or 15 years, yet there was a random girl calling me sir. A short time later I moved by myself and had to start paying bills and taking care of the house by myself and it was different, however in my mind I have never really felt the change. Even now I still play a lot and spend a lot of time in "young" people stuff, and I have never had to risk my life protecting someone else. So, what do you believe an adult is? Do you feel like an adult? And if you do, when and how did it changed?