box office vs ticket booth

box office and ticket booth both are nouns.

Word	Noun	Adjective	Verb	Adverb
box office	Yes	No	No	No
ticket booth	Yes	No	No	No

As nouns, box office and ticket booth are synonyms defined as:

box office and ticket booth: the office where tickets of admission are sold

Other synonyms of box office include ticket office.

box office (noun)	ticket booth (noun)
the office where tickets of admission are sold	the office where tickets of admission are sold
total admission receipts for an entertainment