Answer
15.5 ft
Work Step by Step
Draw a sketch (see below)
$\displaystyle \tan 32^{\circ}10^{\prime}=\frac{a}{24.7},\quad$ solve for a:
a$=24.7\tan 32^{\circ}10^{\prime}\approx 15.53435902$
The flagpole is about 15.5 ft high.
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