Answer
$\angle A = 42.18^{\circ}$
Work Step by Step
Known:
Length of shadow = L = 34.09 meters
Height of building = h = 37.62 meters
Unknown:
Angle of elevation of Sun = A = ?
Formulas:
$\tan A$ = $\frac{Opposite A}{Adjacent A}$ = $\frac{L}{h}$
Calculation:
$\tan A$ = $\frac{34.09}{37.62}$
$A = \tan^{-1}(\frac{34.09}{37.62})$
Final Answer:
$\angle A = 42.18^{\circ}$