The 'height' of the ceiling is eight feet. [=the ceiling is eight feet above the floor; the ceiling is eight feet high]
It was 'the height of' stupidity to quit the team. [=it was extremely stupid to quit the team]
He was 'at the height of' his fame when he died. [=he died when he was most famous]
(..) - Dylan, jump! - I'm frozen. Come on, get down! Sin this is your last warning. - Use the ladder! - I have a fear of heights! And also helicopters! They don't make sense to me! What do you mean you have a fear of heights? Why would you come up here? (..)2011 Friends with Benefits