#### Answer

$551.9$ feet

#### Work Step by Step

The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$
We can use the sine and cosine of the triangle to solve for the distance.
Since, $\sin 6^{\circ}= \dfrac{h}{5280}$
Now, $ h =5280 \sin 6^{\circ}=551.9$ feet