A ${24}^{\text{'}\text{'}}{24}^{\text{'}\text{'}}$ waming sign is to be placed so that the sign is $7ft$ above the elevation of the pavement

at that station. Vertical curve length is $600ft,G1=+3\mathrm{.}00\%$ and $G2=-1\mathrm{.}00\%.$ PVI is located at

station $47+50$ with an elevation of $100\mathrm{.}00.$

Determine at what station the center of the sign would first be observed by a vehicle traveling in

direction of increasing stations if height of driver's eye is $3\mathrm{.}5ft$ above pavement. Assume

Horizontal line of sight.