Question

The bottom of a 13-foot straight ladder is set into the ground 60 inches away from a wall. When the top of the ladder is leaned against the wall, what is the angle of elevation made by the bottom of the ladder and ground?

Answer 1

67.38 degrees

Step-by-step explanation:

The diagram illustrating this problem is attached below:

• The length of the ladder, AB = 13 feet

,

• The wall = BC

,

• The distance from the ladder to the wall, AC= 60 inches

`\begin{gathered} 12\text{ inches=1 foot} \\ 60\text{ inches =}\frac{\text{60}}{12}=5\text{ foot} \end{gathered}`

The angle of elevation is labeled x above:

Using trigonometric ratios:

`\begin{gathered} \cos x=(5)/(13) \\ x=\arccos ((5)/(13)) \\ x=67.38\degree \end{gathered}`

The angle of elevation made by the bottom of the ladder and ground is 67.38 degrees.