distant vs distance

distant is not a noun while distance is a noun.

Word	Noun	Adjective	Verb	Adverb
distant	No	Yes	No	No
distance	Yes	No	Yes	No

distant (noun)	distance (noun)
	the property created by the space between two objects or points
	size of the gap between two places
	indifference by personal withdrawal
	a distant region
	the interval between two times
	a remote point in time

distant (adjective)	distance (adjective)
separated in space or coming from or going to a distance
far apart in relevance or relationship or kinship
remote in manner
located far away spatially
separate or apart in time

distant (verb)	distance (verb)
	go far ahead of
	keep at a distance