Answer
$7524.67 \ ft$
Work Step by Step
The Trigonometric functions can be expressed as:
$\sin \theta=\dfrac{Opposite}{Hypotenuse} \\ \cos \theta=\dfrac{Adjacent}{Hypotenuse} \\ \tan \theta=\dfrac{Opposite}{Adjacent}$
We are given the angle and opposite. Our aim is to compute the hypotenuse. So we use sine. The change in the elevation is given by:
$11200-9000= 2200 \ ft$.
Since, $\sin \theta=\dfrac{Opposite}{Hypotenuse}$
Therefore, $\sin (17^{\circ})=\dfrac{2200}{h} \implies h \approx 7524.67 \ ft$
