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Answer :

Given data:

The given height of the building is H=45 ft.

The given distance is D=85 ft.

The expression for the angle of elevation is,

[tex]\begin{gathered} \tan \theta=\frac{H}{D} \\ \theta=\tan ^{-1}(\frac{45}{85}) \\ =27.9^{\circ} \end{gathered}[/tex]

Thus, the angle of elevation is 27.9 degrees.