The only way to know is to try it. Frames vary in lots of ways as well as nominal length of seat tube. Also the arrangement of the handlebar stem has a lot of influence.
I am 5' 9" and ride a 17" Specialized Rockhopper. The seat pillar is up near the maximum but provides a lot of "standover clearance" which keeps my voice low after tumbles on the rough stuff ! If anything the handlebars are a bit too far forward for me unless I'm riding very seriously.
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