The adjective lofty means something noble, important, and admirable, such as an ideal or an ambition. This also mean something very high such as a building or a room.

Synonyms are grand, exalted, elevated, or towering.

The word origins from early 15th century. It comes from loft meaning “roof space” plus -y. Its literal meaning “high” is attested in 1580s.

Let’s move toward a lofty ideal.

He’s a genius with lofty ambitions.

We were staring at the grand and lofty staircase hall.