try this calc: http://www.pelco.com/sites/global/en/sales-and-support/downloads-and-tools/tools/lens-calc.page
17cm = 0.558'
80cm = 2.625''
select 1/4" camera, put 0.558 for the height (since the camera view is wider than it is high), and you get about a 12mm lens (view will be about 23cm wide).
(and actually, you can just plug in 17 and 80 for the image height and distance, and get the same results - the units aren't really relevant as the two measurements are the same relative to each other)
given the height above the target, the actual distance will be a little more, and the target won't appear square in the frame anyway because of perspective distortion... not much you can do about that without getting into a tilt-shift lens.
a better idea would be simply to get a better camera with a varifocal lens, so you can adjust the focal length until the view fits the way you want. 3-33mm lenses are relatively common and should cover any size sensor at any distance or angle in your range.