height vs stature

height and stature both are nouns.

Word	Noun	Adjective	Verb	Adverb
height	Yes	No	No	No
stature	Yes	No	No	No

As nouns, height and stature are synonyms defined as:

height and stature: (of a standing person) the distance from head to foot

height (noun)	stature (noun)
the vertical dimension of extension; distance from the base of something to the top	(of a standing person) the distance from head to foot
(of a standing person) the distance from head to foot	high level of respect gained by impressive development or achievement
elevation especially above sea level or above the earth's surface
the highest level or degree attainable; the highest stage of development