Answer
73.7 ft
Work Step by Step
The height of the tower (label it with a) is a leg of a right triangle, opposite to the angle $A=38^{o}20^{\prime}$
The side b = 93.2 is adjacent to A.
(SOHCAHTOA)
We use $\displaystyle \tan A=\frac{a}{b}$ and solve for a:
$a=b\cdot\tan A$
$=93.2\cdot\tan 38^{o}20^{\prime}\approx$73.6930053432$\approx 73.7$ ft