Answer
$436$ feet
Work Step by Step
The trigonometric ratios are as follows:
$ \sin \theta =\dfrac{height}{hypotenuse} $
Suppose $\sin 5^{\circ} =\dfrac{a}{5000}$
This gives: $ a=5000 \times \sin 5^{\circ}$
or, $ a =5000(0.0872) \approx 436$ feet
