To what type of port would a cable with a DB-60 connector attach?

The picture on the left shows a V.35 DTE cable with a male DB60 connector and a male standard 34-pin Winchester-type connector. The right picture shows a V.35 DCE serial cable with a male DB60 connector and a female 34-pin Winchester-type connector. As you probably guessed already, the male connector of the DTE cable is attached to the DCE cable’s female connector, this is depicted in the picture below. This is known as a back-to-back connection, and ‘simulates’ a WAN link. In a real world setup, the DTE cable’s male connector typically connects to a port on a CSU/DSU provided by a service provider (i.e. telco), which in turn connects to a CSU/DSU at another location, thru a T1 link for example. The DB60 connector connects to a Serial interface on a router.

Reference: http://www.techexams.net/techlabs/ccna/lab_hardware.shtml