Answer:
67.38 degrees
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
[tex]\begin{gathered} 12\text{ inches=1 foot} \\ 60\text{ inches =}\frac{\text{60}}{12}=5\text{ foot} \end{gathered}[/tex]The angle of elevation is labeled x above:
Using trigonometric ratios:
[tex]\begin{gathered} \cos x=\frac{5}{13} \\ x=\arccos (\frac{5}{13}) \\ x=67.38\degree \end{gathered}[/tex]The angle of elevation made by the bottom of the ladder and ground is 67.38 degrees.
