'Fed up of' is an idiom. It means bored or angry of a bad situation or event that has gone on for too long or a topic that has been talked about too much.
'Be out of one’s depth’ is believed to be an idiom that means one not having the knowledge, experience or skills to deal with a particular situation or subject.
‘Hungry’ is an adjective in its usual meaning of not full, wanting/needing more food; having a strong wish/desire for something.
Student or Learner