Messi's goal

In the final match of the UEFA champions league, Messi has to hit the goal from $2\text{ m}$ away from it. The height of the goal is $3\text{ m}$ . There is one fantastic knowledge with Messi that the goalkeeper can stop the ball only at max $2.5\text{ m}$ high.

Also, Messi hits the ball with initial speed $\sqrt{3}\text{ m/s}$ . Find the range of tan(angle) at which there is 100% possibility Messi will hit the goal.

Details and Assumptions :

1. No player is stopping him i.e. no player is in between Messi and goalkeeper.
2. Consider only gravity. Forget about magnus effect ,air resistance, etc.
3. Take $g=10 \text{ m/s}^2$ .