What does it take to get into prestigious music schools?

I am an extremely serious 11th grade flutist, and I was wondering what it takes to get into prestigious music schools. I guess I should probably just ask my teacher, but it couldn't hurt to get some advice from you guys. I've held the top chair in my state since my sophomore year, I'm principal flute in 2 orchestras, I practice hours a day, I take private lessons, I perform in recitals and competitions every year, I know lots of solo and orchestra repertoire, I know all forms of minor scales and of course major scales, I have performed concerti with orchestra accompaniment, and I was one of 6 flutists selected for Governor's School for the Arts in my state. I also take part in chamber ensembles and go to festivals and clinics throughout the state. I know quite a lot of music history and theory, and I'm working on expanding my knowledge. Basically, I just try to do everything I can to better myself as a musician. I love playing flute SO much and I listen to classical music almost constantly. Do you think I have a chance?