One end of a ladder of length $L$ rests on the ground and the other end rests on the top of a wall of height $h$, as illustrated in the Figure on this page. As the bottom end is pushed along the ground towards the wall, the top end extends beyond the wall. The value of $x$ that maximizes the horizontal overhang $s$ is $x=$ . (Your answer will depend on $L$ and $h$.)
In the particular case that $L=16$ and $h=5$ this value is $x=$ .
The corresponding numerical value of $s=$ .