Given:
By the definition of sin
[tex]\begin{gathered} \sin \theta=\frac{opposite\text{ }}{\text{hypotenuse}} \\ \theta=\sin ^{-1}(\frac{opposite\text{ }}{\text{hypotenuse}}) \\ \theta=\sin ^{-1}(\frac{12}{16}) \\ \theta=48.59^{\circ} \end{gathered}[/tex]Answer:
[tex]\text{The ladder makes }48.59^{\circ}\text{ with the ground}[/tex]