Consider a ladder sliding down a wall, as in the figure below.

$h$ measures the height of the top of the ladder.

$x$ is the distance along the floor from the wall to the bottom of the ladder.

$a$ is the constant length of the ladder, $6$ meters.

The top is sliding down the wall at a rate of $-0\mathrm{.}8\frac{m}{s}.$

Create a formula that relates $x,h$ and $a.$

Find $\frac{dx}{dt}$ when $h=5\mathrm{.}5m.$ Round your answer to three decimal places and use correct units.

$\frac{dx}{dt}{|}_h||=5\mathrm{.}5=$