The Demise of Haman and His Sons

Haman and his sons made a cameo appearance in Tosfos this week. In fact, in various places in Shas, Tosfos makes cryptic references to Targum that discusses how Haman’s sons were hanged. However, in Chagiga (11b), Tosfos is somewhat more verbose.
The issue that Tosfos discusses is what is the average height of a person. It is directly relevant to the minimum size of a mikveh. Tosfos opines that when the Gemara refers to the average height of a person as being three amos, it does not include the head. Indeed, this can help explain a passage in Bava Basra. There, the Gemara discusses the minimum height of a fence needed for privacy. The ruling there is that the fence should be four amos. Tosfos explains that an average person is three amos tall. In addition, we add his head. His neighbor can further stand on his tippy toes, mandating a four amos tall fence to ensure privacy.
Tosfos says that the Targum Sheni and the pesukim in Megillas Esther support his position that the average height of a person is three amos not including the head.