What is another word for are engrossed by?
Pronunciation: [ɑːɹ ɛnɡɹˈə͡ʊst bˈa͡ɪ] (IPA) 
When we say we are engrossed by something, it means we are fully captivated or absorbed by it. There are various synonyms for this phrase, including "enthralled by," "charmed by," "fascinated by," "mesmerized by," "enamored by," "spellbound by," and "obsessed with." These words convey the same intensity of being completely absorbed or consumed by something. For instance, we can say we were enthralled by a new book we just started reading, mesmerized by a breathtaking view from the top of a mountain, or charmed by a beautiful painting at an art exhibit. Essentially, any word that means captivated or absorbed can be used as a synonym for being engrossed by something.
