Height has bearly anything to do with it......all depends how how much weight you can throw around. The stonger/heavyer you are, the longer ski you can handle.
If it is your first year skiing thought i would get in the 160-169 range  no matter what size you are. These are great to teach you the basics....and the shorter skis are much lighter, and more manuverable. I still ski on my 169 1080s, and i am 6'1 185.