The diagram can be shown as,
The height of the top of the ladder can be determined as,
[tex]\begin{gathered} h=\sqrt[]{13^2-4^2} \\ =\sqrt[]{169-16} \\ =\sqrt[]{153} \\ =12.36\approx12.4ft \end{gathered}[/tex]
Thus, the requried height of the top of the ladder to the nearest tenth is 12.4 ft.
