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]
(..) Only four of them have the hair line to hide them. The Ambassador that you've replaced With Rene, Is he still alive? Would you like me to recommend your next move? They're all my brother's height, Right build, But... Their eyes, Their eyes are wrong. Rene has blue eyes. (..)2011 Sherlock Holmes: A Game of Shadows