Height could mean a slight change of latitude (8)
I believe the answer is:
altitude
'height' is the definition.
(synonyms)
'mean a slight change of latitude' is the wordplay.
'latitude' can be anagrammed to 'ALTITUDE'.
Though, I'm not clear how the anagram is indicated.
'could' is the link.
Can you help me to learn more?
(Other definitions for altitude that I've seen before include "Height (above ground)" , "Height above the earth's surface" , "Angular distance above the horizon" , "Elevation above sea level" , "Height above sea level" .)