An equal$-$tangent crest curve has been designed for $52$ mph to connect grades of $2\%$ and $-3\%$

for a new vehicle that has a $4$ ft driver's eye height and to avoid an object located only $0\mathrm{.}6$

ft high. Standard practical stopping distance design standards were used except the

acceleration was assumed to be $12f\frac{t}{se{c}^2}.$ If the PVT of the durve is at elevation $345$ ft

and located at station $500+40,$ what is the station and elevation of the high point of the

curve?