I'm the same height and I once had a '64 Triumph Spitfire. I was able to be comfortable in it but the point on top of my head pushed up into the canvas when the top was up, and the top of the windshield frame was right in my desired line of sight- had to crouch to look through the windshield, or go top down and look over it.
Lovely styling but oh what horrible quality of engineering, materials, and assembly!