Peak, elevation, height
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Altitude or height.
Lift is a synonym for elevate
One synonym for spanned is extended from.
Your question is incorrectly phrased. Rich is a synonym for wealthy, prosperous, affluent, etc., but you do not say "Rich is a synonym"; you say, for example, "Rich is a synonym for wealthy."
'altitude' or perpendicular. If on line is the base (horizontal) line, then the line that is a 90 degrees to it is the perpendicular/altitude.