An aircraft is gliding at an altitude of \(3000\) metres with the engine failed. The aircraft has a maximum Lift-to-Drag ratio \((L/D)_{\max\) of \(15\). Calculate the maximum horizontal distance the aircraft can cover before hitting the ground.
Show Hint
The glide ratio is
\[
\boxed{
\frac{\text{Horizontal Distance}}{\text{Altitude}}
=
\frac{L}{D}.
}
\]
Hence,
\[
\boxed{
\text{Maximum Glide Distance}
=
\left(\frac{L}{D}\right)_{\max}
\times
\text{Altitude}.
}
\]