He 'respectfully' removed his hat when he entered the building.
Children should be 'respectful of' their elders.
a 'respectful' manner
(..) ...I'm going to say this in English. Huh! As your leader... I encourage you from time to time, and always in a respectful manner, to question my logic. If you're unconvinced a particular plan of action I've decided is the wisest, tell me so. (..)2003 Kill Bill: Vol. 1