A man wears his hat in the street, where other people see him, when he is respectable, which means when he can be seen. Therefore he is presentable.
Jung articulates the hat as the quintessential persona-object: its social function is to signal respectability and conformity to collective norms, rendering the wearer legible and acceptable to the public world.
, Dream Analysis: Notes of the Seminar Given in 1928-1930, 1984thesis