1. This is an "old" resume. I'm not as old as OP's dad but I definitely recall putting my gender, height, probably weight, definitely "health: excellent", etc. on my resumes in the 1980s. Different times. Times of discrimination? Probably. :-/

2. As others point out, this gentleman was in aerospace and even though he wasn't a pilot, here's a fun fact for the morning ... I watched a documentary on the early years of fighter pilot selection and grooming. Russia apparently recognized and exploited the value of a short heart-brain distance in its pilots. If I recall correctly, pilots with shorter distances between heart and brain can pull higher G's (or maybe negative G's) before browning or blacking out in certain maneuvers. It makes sense when you think about it. So if you're an air force looking for every edge you can, you might select for this trait. Shorter men (specifically, shorter sitting height: reasonably correlated with heart-brain distance). Also some women, I would expect. Anyways, this is probably not why OP's dad shared his height, but sharing a possible TIL as it was for me... :-)