The diagram shows a sketch of the line \(5y+2x=17\) and the line \(y=8\).
The line \(5y+2x=17\) meets the axes at \(P\) and \(Q\).
The line \(y=8\) passes through the points \(S\) and \(R\).
\(RQ\) is parallel to the \(y\)-axis.
Find the coordinates of \(Q\).[1]
Write down the equation of the line parallel to \(PQ\) and passing through the point \(S\).[1]
The length of \(PQ\) is \(\sqrt{k}\) units.
Find the value of \(k\).[2]
The diagram represents a map where the quadrilateral \(PQRS\) represents a nature park.
Given that the actual area of the nature park is \(\left(1.73502\times10^6\right)\text{ m}^2\), find the actual distance of \(RQ\) in kilometres.[4]