https://www.utexas.edu/student/admissions/research/feederschools.html
Check for your high school here. UT does not generally care if your high school is “competitive.” Look to see how many people enrolled from your school in each year. That will give you an idea off how well your school does in admissions. It still won’t tell you who gets in to competitive majors.
Your scores are impressive and your rank gets you in the door. You are doing better than most. Good luck!