We are asked to find the angle x as shown in the given figure.
Recall the trigonometric ratio,
[tex]\cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
With respect to angle x, the adjacent side is 7 ft and the hypotenuse is 15 ft.
Let us substitute these values into the above formula
[tex]\cos x=\frac{7}{15}[/tex]
Take the inverse of cos function
[tex]\begin{gathered} x=\cos ^{-1}(\frac{7}{15}) \\ x=62.2\degree \end{gathered}[/tex]
Therefore, the angle of elevation of the ladder is 62.2
