Solution:
Given the function that could represent this situation;
![f\mleft(x\mright)=-x^2+10x-21](https://img.qammunity.org/2023/formulas/mathematics/college/2u2r63bn2jm97siew1w5kbglvj8c7ji5e2.png)
For a clearer picture of the path of the fish, the graph of the function is;
From the graph, the boat is at;
![\left(\right)\left(5,0\right)](https://img.qammunity.org/2023/formulas/mathematics/college/ga24064cnc5ngbsxycabmuvpdq0ja0gcvj.png)
Thus, the distance where the fish came out of the water and re-enter the water from the center of the boat is 2 feet.