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]
(..) of the Sureté, and I am here on official police business. Whether you're here on official police business or not, this is the height of the season and the hotel is full. Listen, my friend. This is a matter of national importance. And if you continue to be difficult with me, (..)1975 The Return of the Pink Panther