Answer
$h = 433.5$
Work Step by Step
1. Express h
$\tan 49.2^{\circ} = \frac{h}{x}$ => $h = x \tan 49.2^{\circ}$
$\tan 29.5^{\circ} = \frac{h}{x+392}$ => $h = (x+392) \tan 29.5^{\circ}$
2. Solve for x
$h=h$
$x \tan 49.2^{\circ} = (x+392) \tan 29.5^{\circ}$
$x = \frac{392 \tan 29.5^{\circ}}{\tan 49.2 - \tan 29.5^{\circ}}\approx 374.10$
3. Find h using tangent definition given in step 1
$\tan 49.2^{\circ} =\frac{h}{374.16}$
$h\approx 433.5$
