#### Answer

The ladder goes up the wall a distance of 9.35 meters above the top of the fire truck.

#### Work Step by Step

We can convert angle to degrees:
$\theta = 43^{\circ}50' = (43+\frac{50}{60})^{\circ} = 43.83^{\circ}$
We can find the height $d$:
$\frac{d}{h} = sin ~\theta$
$d = (h)~(sin ~\theta)$
$d = (13.5~m)~sin ~(43.83^{\circ})$
$d = 9.35~m$
The ladder goes up the wall a distance of 9.35 meters above the top of the fire truck.