Using a camera appeases the anxiety which the work driven feel about not working when they are on vacation and supposed to be having fun. They have something to do that is like a friendly imitation of work: they can take pictures.
Allay sb's concerns/fears/suspicions (dispel). I tried to allay his fears about the interview.
The director’s optimistic speech allayed our fears that the company was in trouble.
These skills involve being able to communicate understanding, care and concern and the capacity to explain events, provide encouragement, allay fears, contain anxiety
Nothing could be done to allay the pang of famine.
She tried to allay their fears but only ended up heightening them.