Final answer:
The network administrator's action of pinging the wireless router is an example of the bottom-up troubleshooting approach, starting from the most basic elements of the network infrastructure to identify the problem.
Step-by-step explanation:
The troubleshooting technique represented by the network administrator's action of pinging the wireless router from the office computer is known as the bottom-up approach. This method involves starting with the most basic elements or layers of the network infrastructure and working upwards to more complex elements to identify the point of failure. In this case, by pinging the router, the administrator is starting at a lower level of the network stack to ensure connectivity before checking higher-level issues, such as DNS settings or internet service provider problems.