There are many answers to this question, but I guess the one you want must contain whole numbers of inches, so let’s work in inches instead of feet and inches.
61²=a²+b² can be written: b²=61²-a²=(61-a)(61+a).
If a=60, b²=(61-60)(61+60)=121, which is a perfect square.
So b=11 in and a=60 in (5ft).
As it happens, no other whole numbers satisfy the equation.