This is the 9638th most frequent French word.
détaché
Detached or separated.
In this sentence, 'détaché' is used as an adjective to describe the state of the button being physically separated or unfastened from the fabric.
Le bouton de sa chemise était détaché.
The button on his shirt was detached.
Here, 'détachée' is employed metaphorically as an adjective to characterize a manner of speech that is emotionally distant or objective.
Elle parlait d'une manière détachée pour ne pas montrer ses émotions.
She spoke in a detached manner to avoid showing her emotions.
In this case, 'détaché' functions as an adjective to denote someone who is not connected or affiliated with the group, implying independence or isolation.