Could be something around 5 feet 8 inches to start with and ofcourse body language, poise and personality are the key features besides a good body and height

According to the New York Better Business Career Services website, the preferred dimensions for a male model are a height of 5 ft 11 in (180 cm) to 6 ft 2 in (189 cm), a waist of 29–32 in (73.66–81.28 cm) and a chest measurement of 39–40 in (99.06–101.60 cm). Male runway models are notably skinny and well toned.

Please click on the link below: http://modelingwisdom.com/height-age-and-measurement-requirements-of-modeling

I think its 5'8".