elevation vs height

elevation and height both are nouns.

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

As nouns, height is a hyponym of elevation; that is, height is a word with a more specific, narrower meaning than elevation:

elevation: distance of something above a reference point (such as sea level)
height: elevation especially above sea level or above the earth's surface

Other hyponyms of elevation include isometry, altitude, grade, ground level, water level.

As nouns, elevation and height are synonyms defined as:

elevation and height: the highest level or degree attainable; the highest stage of development

Other synonyms of elevation include acme, meridian, peak, pinnacle, summit, superlative, tiptop, top.

elevation (noun)	height (noun)
the act of increasing the wealth or prestige or power or scope of something	the vertical dimension of extension; distance from the base of something to the top
drawing of an exterior of a structure	(of a standing person) the distance from head to foot
distance of something above a reference point (such as sea level)	elevation especially above sea level or above the earth's surface
(ballet) the height of a dancer's leap or jump	the highest level or degree attainable; the highest stage of development
the event of something being raised upward
a raised or elevated geological formation
angular distance above the horizon (especially of a celestial object)
the highest level or degree attainable; the highest stage of development