Question

A 12-ft ladder leans against a large house. If the base of the ladder is 5 ft from the base of the house, whatis the angle formed by the ladder and the house? What is the angle formed by the ladder and the ground?

Answer 1

From the problem, we construct the diagram as follows:

Using trigonometric functions, we have:

`\begin{gathered} \sin x=(5)/(12)\Rightarrow x=\sin⁻¹((5)/(12)) \\ \\ \cos y=(5)/(12)\Rightarrow y=\cos⁻¹((5)/(12)) \end{gathered}`

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°