1.55 mm, which is 0.06102 inches.
The U.S. Mint provides a table of information giving the dimensions, weight, and composition of all current circulation coins. Link below.
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it is approx the thickness of a penny
Nominal thickness is 1.55mm
The head of a penny is obviously the queens head, and the tail is that thing on the other side of the penny.
Your answer depends on the date on the penny.
A U.S. cent is 1.55mm thick.