Answer
$H=\sqrt {241}$ ft
Work Step by Step
The unknown length is the hypotenuse (H). The base B is $8\sqrt 3$ ft and the perpendicular P is 7 ft.
$H^{2}=(8\sqrt 3)^{2}+(7)^{2}$
$H^{2}=64(3)+49$
$H^{2}=192+49$
$H^{2}=241$
$H=\sqrt {241}$ ft