From the problem, we construct the diagram as follows:
Using trigonometric functions, we have:
[tex]\begin{gathered} \sin x=\frac{5}{12}\Rightarrow x=\sin⁻¹(\frac{5}{12}) \\ \\ \cos y=\frac{5}{12}\Rightarrow y=\cos⁻¹(\frac{5}{12}) \end{gathered}[/tex]Finally, we conclude that:
The angle formed by the ladder and the house: x = 24.624°
The angle formed by the ladder and the ground: y = 65.376°
