He was between 5’11” and 6’1”....we split the difference and call it 6’.
By the way..........makes him VERY tall for that era.
Computerized Anthropometric analysis of the Man of the Turin Shroud
by Giulio Fanti°, Emanuela Marinelli+ Alessandro Cagnazzo°, ©1999
The conclusion of this study, which is pretty exhaustive, is that "The height of the Man of the Shroud turned out to be 174±2 cm."
That's a range of 67.7 inches at the low end to 69.3 inches at the high end. 174 cm is approximately 68.5 inches. Five feet, eight and a half inches tall.
The average American Male is 5' 9.4" tall... 69.4"
Another anthropomorphic study of the Shroud's image concluded the Man was 70.5 inches tall... 5' 10 1/2" tall. A survey of male skeletons of 1st Century Jewish burials, found that the average male was 5' 8 3/8" tall. Examples were found that were over 6 feet.