"Take your hat off" means "to express your admiration and respect". Example: I have to take my hat off to you – how do you manage to look after two small children and have a full-time job? - Learn and improve your English language with our FREE Classes. Call Karen Luceti 410-443-1163 or email email@example.com to register for classes. Eastern Shore of Maryland. Chesapeake College Adult Education Program. www.chesapeake.edu/esl.