Faint is a synonym of Remote. Remote is the opposite of Involved. Involved is related to Effort. 
Hang is a synonym of Decorate. Stick is a type of Decorate. Stick is related to Finger. Finger is related to Palm. 
Faint <--Synonym--> Remote <--Antonym--> Involved <--RelatedTo--> Effort 
Hang <--Synonym--> Decorate <--IsA-- Stick <--RelatedTo--> Finger <--RelatedTo--> Palm 