How tall does a pet gate need to be for a medium or large dog?

Mainstream product listings and verified-purchase reviews suggest a 30-inch gate is fine for small to medium dogs, 36 inches is the common 'extra tall' standard that handles most medium-large dogs, and you'll want a 50-plus-inch gate for athletic jumpers or larger breeds. One r/greatdanes commenter noted even a 36-inch gate barely contains a determined Great Dane who 'pogos' over the top.