Answer
$2880$ feet
Work Step by Step
The trigonometric ratios are as follows:
$ \sin \theta =\dfrac{height}{hypotenuse} $
Suppose $\sin 10^{\circ} =\dfrac{500}{c}$
This gives: $ c=\dfrac{500}{\sin 10^{\circ} }$
or, $ c \approx 2880$ feet