Answer
$448\ m$
Work Step by Step
1. See figure, we have $tan(52.5^\circ)=\frac{h}{x}$ and $tan(41.2^\circ)=\frac{h}{x+168}$
2. We have $h=x\ tan(52.5^\circ)=(x+168)tan(41.2^\circ)$
3. Solve for $x$ to get $x=\frac{168tan(41.2^\circ)}{tan(52.5^\circ)-tan(41.2^\circ)}\approx343.8\ m$
4. We have $h=343.8\ tan(52.5^\circ)\approx448\ m$
