I haven't worn high heels since my twenties and the only way I can look tall is to stand next to my friend who is actually a dwarf, and half my height.
I haven't measured my height in a long time. In my youth I measured a full 5' 1 1/2 " (155 cm). I'm an inch taller than my sister and three inches taller than my mother was, so clearly our height is defined by our genetics. Hubby is (was) six foot (180 cm) so our daughter is a lot taller than me, however, she is about average for her cohort of school friends.
It is interesting to note that English sailors circa 1870s were not much taller than me. One of my ancestors on Dad's side sailed to Australia on the HMS Dido, an English ship of the line. He deserted in Sydney and is mentioned in the NSW Police gazette together with a full physical description. So are other English navy deserters. The tallest seem to be about 5' 4". Quite a number were only 5' 2"
The children of the original transported convicts grew to be much taller than their parents. This phenomenon indicates that genetics alone is not the determinator of height. Environment and nutrition also play a big part.