[tex]\begin{gathered} we\text{ know that for an angle }\alpha,\text{ } \\ \tan (\alpha)=\frac{\text{opposite side of angle}}{\text{ adjacent side of angle}} \\ \tan (\alpha)=\frac{75}{61} \\ \text{ Applying tan}^{-1}\text{ to both sides of the equation yields} \\ \\ \tan ^{-1}(\tan (\alpha))=\tan ^{-1}(\frac{75}{61}) \\ \alpha=\tan ^{-1}(\frac{75}{61}) \\ \alpha=50.88\degree \\ \text{the elevation angle is 50.88\degree} \end{gathered}[/tex]
