Question

A 16-foot ladder leaning against the side of a house reaches 12 feet up the house. What angledoes the ladder make with the ground?

Answer 1

Given:

By the definition of sin

`\begin{gathered} \sin \theta=\frac{opposite\text{ }}{\text{hypotenuse}} \\ \theta=\sin ^(-1)(\frac{opposite\text{ }}{\text{hypotenuse}}) \\ \theta=\sin ^(-1)((12)/(16)) \\ \theta=48.59^(\circ) \end{gathered}`

Answer:

`\text{The ladder makes }48.59^(\circ)\text{ with the ground}`