Satisfied sighs is a phrase used to describe the feeling of contentment and relief after a difficult task has been completed. The crossword solutions for this phrase are AAHS (4 letters) and AHS (3 letters). AAHS stands for 'audible expression of pleasure or relief' while AHS stands for 'exclamation of surprise, pleasure, or relief'. Both terms can be used to describe the feeling of satisfaction after a job well done.