engaged vs occupied

engaged and occupied both are adjectives.

Word	Noun	Adjective	Verb	Adverb
engaged	No	Yes	No	No
occupied	No	Yes	No	No

As adjectives, engaged and occupied are synonyms defined as:

engaged (adjective)	occupied (adjective)
built against or attached to a wall	held or filled or in use
having services contracted for	seized and controlled as by military invasion
(used of toothed parts or gears) interlocked and interacting	having ones attention or mind or energy engaged
involved in military hostilities	resided in; having tenants
(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)
reserved in advance
having ones attention or mind or energy engaged
pledged to be married