#### Answer

Angle of Elevation of Sun = $\angle A$
$\angle A = 26.60^{\circ}$

#### Work Step by Step

Known:
Length of shadow = L = 55.21 feet
Height of flagpole = h = 27.65 feet
Unknown:
Angle of Elevation of Sun = A = ?
Formulas:
$\tan A$ = $\frac{Opposite A}{Adjacent A}$ = $\frac{h}{L}$
Calculation:
$\tan A$ = $\frac{27.65}{55.21}$
$A = \tan^{-1}(\frac{27.65}{55.21})$
Final Answer:
$\angle A = 26.60^{\circ}$