Ring height? Ruger M77 MkII & Zeiss HD5 3-15x42

I have a Ruger M77 MkII that I'll be swapping scopes on. Currently running a 3-9x50 Nikon Buckmaster and I'll be replacing it with a Zeiss HD5 3-15x42. Right now it has tall rings. I'm assuming I'll need mediums? Just don't want to order them and find out they're too short.
 
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