Answer
$11339.3\text{ft}.$
Work Step by Step
We know that the tangent of an angle is the opposite side divided by the adjacent side. We also know that $1\text{mile}=5280\text{ft}$ and that the total distance from the boat to the tower is the distance we are looking for plus 1 mile. We can denote that $\tan{(5^\circ)}=\frac{1454}{x+5280}$, hence $x+5280=\frac{1454}{\tan{(5^\circ)}}\approx16619.3\text{ft}$ Therefore $x=16619.3-5280=11339.3\text{ft}.$
