Engaged
(of facilities such as telephones or lavatories) unavailable for use by anyone else or indicating unavailability; (`engaged' is a British term for a busy telephone line)
(used of toothed parts or gears) interlocked and interacting
Having ones attention or mind or energy engaged
Built against or attached to a wall
Having services contracted for
Similar to
Examples
The carpenter engaged (or employed) for the job is sick
Involved in military hostilities
Similar to
Examples
The desperately engaged ships continued the fight