Step 1: Structure.
Butan-2-ol = CH$_3$–CHOH–CH$_2$–CH$_3$. The –OH group is attached to the second carbon.
Step 2: Classification.
The carbon bearing the –OH group is bonded to two other carbons → it is a secondary alcohol.
Step 3: Conclusion.
Hence, Butan-2-ol is a secondary alcohol.