遠方 and 遠隔: a faraway place and action from a distance
Compare lodging prepared for a guest from far away with a warehouse door closed remotely, separating the distant place from the way an action is performed.
A guest from far away
遠方 (えんぽう) means a distant place. 「遠方から来た客のために宿を用意した。」 says that lodging was prepared for a guest who had come from far away.
遠方から identifies the distant place the guest came from. Lodging was prepared, but the sentence does not establish that the guest had already spent a night there.
Operating a door from a distance
遠隔 (えんかく) combines with actions performed from a distance. 「技師は遠隔操作で倉庫の扉を閉めた。」 says that the technician closed the warehouse door by remote control.
遠隔操作で identifies how the door was closed. The result is supplied, but neither the technician's exact location nor the type of control device is specified.
The place and the way of acting
The 遠方 example focuses on the faraway place the guest came from. The 遠隔 example focuses on operating the warehouse door from a distance.
Here 遠隔 appears in 遠隔操作, identifying operation from a distance. This combination does not limit the word to operating machines.
Which describes how the door was closed: 「遠方から」 or 「遠隔操作で」?
Show the answer and why
遠隔操作で. 遠方から identifies the faraway place the guest came from, while 遠隔操作で identifies the remote method of operation.