Answer:
57.8°
Explanation:
We can represent the situation as:
So, we can relate, the given measurements with the trigonometric function cosine, so:
[tex]\begin{gathered} \cos x=\frac{Adjacent\text{ side}}{Hypotenuse} \\ \cos x=\frac{8}{15} \end{gathered}[/tex]Then, solving for x, we get:
[tex]\begin{gathered} \cos x=0.533 \\ x=\cos ^{-1}(0.533) \\ x=57.8 \end{gathered}[/tex]Therefore, the angle of elevation of the ladder is 57.8°
