Xavier uses a 20-foot ladder to paint a section of his house, and he rests it on a ledge that is 16 feet off the ground, as shown in the diagram. Solve for angle . Show your work.

Answer:The angle which ladder makes with the ground is 53.13Step-by-step explanation:Given as :The length of the ladder = 20 footThe length of the ledge = 16 feet The ladder makes an angle Ф with the groundFrom figure, in triangle CABSo, Sin angle = [tex]\dfrac{\textrm Perpendicular}{\textrm hypotenuse}[/tex]I.e Sin Ф =  [tex]\dfrac{\textrm length of the ledge}{\textrm length of the ladder}[/tex]Or,  Sin Ф = [tex]\frac{16}{20}[/tex] or,   Sin Ф = [tex]\frac{4}{5}[/tex] or, Ф = [tex]Sin^{-1}(\frac{4}{5})[/tex]∴   Ф = 53.13Hence The angle which ladder makes with the ground is 53.13 Answer