To take a shot at something means to attempt to do something, even if it hard and you don't know if you will succeed.
The phrase comes from shooting at a target with a gun or other weapon. In that situation, each shot is an attempt to hit the target, which led to the figurative meaning of making an attempt.
The phrase comes from shooting at a target with a gun or other weapon. In that situation, each shot is an attempt to hit the target, which led to the figurative meaning of making an attempt.
She decided to take a shot at entering the photography competition.