Given that an 82 ft flag pole casts a shadow 45 ft long.
In the above diagram, AB is the flag, BC is the shadow and angle C is the ngle of elevation.
Now,
[tex]\begin{gathered} \tan c=\frac{82}{45} \\ c=\tan ^{-1}(\frac{82}{45}) \\ =61.243 \end{gathered}[/tex]So, teh angle of elevation is 61.243 degrees.