noun
Vertical or lateral distance
lowness, deepness, extent, drop, measurement downward, declination, pitch, distance backward, distance inward, remoteness, extent down from a given point, downward measure, perpendicular measurement from the surface, sounding; see also expanse, measurement 2.
Antonyms height*, shallowness, flatness.
Deepness
profundity, intensity, lowness, gravity, abyss, pit, bottom, substratum, underground, base, lower register, bottom of the sea; see also bottom 1.
Intellectual power
profundity, weightiness, wisdom; see acumen.
in depth