Chances for UT Engineering and Honors Program

<p>I was wondering what my chances are for getting into the Cockrell School of Engineering and the Engineering Honors Program with these scores:
Class Rank: 59/617
Unweighted GPA (4.0 scale): 3.71
Numeric GPA (100.0 scale): 96.79
Highest SAT: Math:740 CR:640 Writing:580
Highest ACT: English (no writing):32 Math:29 Reading:26 Science:24
Took 3 AP courses Junior year and currently taking 5 courses for senior year.
Extracurriculars: Marching band for four years
Awards: Made the Texas All-State Band my Junior year
I hear UT Austin's engineering program is really competitive, but would this give me a good shot?</p>

<p>By the way I am also African-American.</p>

<p>You’ve got a chance, your between on the fence and in. I’d put my money on in.</p>