A hill is inclined so that its "slope" is $\frac{1}{2}$, as shown in the figure.



We introduce a coordinate system with the origin at the base of the hill and with the scales on the axes measured in meters. A rocket is fired from the base of the hill in such a way that its trajectory is the parabola $y = -x^2 + 341 x$. At what point does the rocket hit the hillside? Give your answer in terms of $x$ and $y$ coordinates.

$x =$

$y =$

How far is this point, measured on a straight line, from the launch spot?

Distance = meters