hoary vs gray-haired

hoary and gray-haired both are adjectives.

Word	Noun	Adjective	Verb	Adverb
hoary	No	Yes	No	No
gray-haired	No	Yes	No	No

As adjectives, hoary and gray-haired are synonyms defined as:

hoary and gray-haired: showing characteristics of age, especially having grey or white hair

Other synonyms of hoary include gray-headed, gray, grey-haired, grey-headed, grey, grizzly, hoar, white-haired.

hoary (adjective)	gray-haired (adjective)
covered with fine whitish hairs or down	showing characteristics of age, especially having grey or white hair
ancient
showing characteristics of age, especially having grey or white hair