According to Unified Police Lieutenant Justin Hoyle, the girl and a 19-year-old boy were climbing the mountain when their rope got stuck.
A distress call came in after 5 p.m. on Sunday.
Hoyle said the boy was able to unhook himself and climb down to safety on his own, but the girl was stranded on a ledge.
After several hours, rescuers rappelled down to the girl and hooked her up to another rope. She was safely rescued without injuries.
Copyright 2015 Nexstar Broadcasting, Inc. All rights reserved. This material may not be published, broadcast, rewritten, or redistributed.