#### Answer

$x = 146.5$ meters

#### Work Step by Step

1. $\tan \theta_1 = \frac{68.7}{x_2}$
$x_2 = \frac{68.7}{\tan 16^{\circ} 50'}\approx 242.242695$
2. $\tan \theta_2 = \frac{68.7}{x_1}$
$x_1 = \frac{68.7}{\tan 36^{\circ} 40'}\approx 95.723635$
3. $x= x_2 - x_1$
$x \approx 146.5$ meters