detestable vs repulsive

detestable and repulsive both are adjectives.

Word	Noun	Adjective	Verb	Adverb
detestable	No	Yes	No	No
repulsive	No	Yes	No	No

As adjectives, detestable and repulsive are synonyms defined as:

Other synonyms of detestable include abhorrent, obscene, repugnant.

detestable (adjective)	repulsive (adjective)
unequivocally detestable	possessing the ability to repel
offensive to the mind	offensive to the mind
	so extremely ugly as to be terrifying