Typically radar on submarines is/was used for contact management during inbound/outbound transit. Therefore raised height wasn't very high as it didn't need to be. I understand your constraints regarding periscope depth though, particularly with the Permit as she had a much smaller sail.
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USS Kentucky SSBN 737 (G)
Comms Div 2003-2006
Qualified 19 November 03
Yes I was really on a submarine.
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