Which of the following programs can be used to determine the routing path to a given destination?

`dig` is a command-line utility for querying DNS name servers and is used for domain name resolution, not for tracing network routes.

`netstat` displays active network connections, routing tables, interface statistics, and multicast memberships on the local system, but does not determine the path to a remote destination.

`ping` is used to test reachability of a host on an Internet Protocol (IP) network and to measure the round-trip time for messages sent from the originating host to a destination computer, but it does not show the intermediate hops.

`route` is a command to view or manipulate the IP routing table on the local machine; it does not trace the network path to a remote destination.

`traceroute` (or `tracert` on Windows) works by sending packets with progressively increasing Time-To-Live (TTL) values, capturing the responses from each router along the path. This process reveals the IP address of every hop (router) packets traverse from the source to the destination, effectively mapping the routing path.