The difference between Aloof and Distant

When used as adjectives, aloof means reserved and remote, whereas distant means far off (physically, logically or mentally).

Aloof is also preposition with the meaning: away from.

Aloof is also adverb with the meaning: at or from a distance, but within view, or at a small distance.

check bellow for the other definitions of Aloof and Distant

Aloof as an adverb:

At or from a distance, but within view, or at a small distance; apart; away.
Aloof as an adverb:

Without sympathy; unfavorably.

Aloof as an adjective:

Reserved and remote; either physically or emotionally distant; standoffish.

Distant as an adjective:

Far off (physically, logically or mentally).

Examples:

"We heard a distant rumbling but didn't pay any more attention to it. She was surprised to find that her fiancé was a distant relative of hers. His distant look showed that he was not listening to me."
Distant as an adjective:

Emotionally unresponsive or unwilling to express genuine feelings.

Examples:

"Ever since our argument, she has been totally distant toward me."