Any wild animal has the potential to be dangerous. If you pen one, then it may hurt you. Pronghorns are very vigilant animals who can see 300-degrees without turning their heads. Their enormous eyes allow them to see up to 4 miles away, and they use their white rumps to warn other pronghorns that you are a danger trying to get close. Therefore, pronghorns will try to get away from you by running. They can run up to 9 miles at speeds over 40 miles per hour.