dress hat vs high hat

dress hat and high hat both are nouns.

Word	Noun	Adjective	Verb	Adverb
dress hat	Yes	No	No	No
high hat	Yes	No	No	No

As nouns, dress hat and high hat are synonyms defined as:

dress hat and high hat: a man's hat with a tall crown; usually covered with silk or with beaver fur

Other synonyms of dress hat include beaver, opera hat, silk hat, stovepipe, top hat, topper.

dress hat (noun)	high hat (noun)
a man's hat with a tall crown; usually covered with silk or with beaver fur	cymbals that are operated by a foot pedal
	a man's hat with a tall crown; usually covered with silk or with beaver fur