#### Answer

$h = 448.043$ meters

#### Work Step by Step

Start this problem out by generating two equations for h:
$\tan 41.2^{\circ} = \frac{h}{168 + x}$
(1) $h = (168+x)\times \tan 41.2^{\circ}$
$\tan 52.5^{\circ} = \frac{h}{x}$
(2) $h = x \times \tan 52.5^{\circ}$
Set equations (1) & (2) equal to each other and solve for x.
$(168+x) \times \tan 41.2^{\circ} = x \times \tan 52.5^ {\circ}$
$(168+x) \times \frac{\tan 41.2^{\circ}}{\tan 52.5^ {\circ}} = x$
$(168+x) \times (0.6717) = x$
$0.328256x = 112.853$
$x = 343.796$
Now plug x into equation (2) to find h.
$h = (343.796) \times \tan 52.5^{\circ}$
$h = 448.043$ meters