The distance (in miles) viewable to horizon of a lighthouse oh height h (in feet) is given by approximately
[tex] \sqrt{ \frac{7h}{4} } [/tex]
Given that a lighthouse that is 36 ft tall stands on the shore of Lake Michigan, the distance of the boat it can see on the horizon is given by approximately
[tex] \sqrt{ \frac{7\times36}{4} } = \sqrt{63} \approx7.94[/tex]
