A four leg intersection with a yield control on the minor road is formed by two $2-$lane streets intersecting at $90$ degrees. The speed limits on the minor and major roads are $40$ and $65k\frac{m}{h},$ respectively. If a building is to be located at a distance of $15m$ from the centerline of the nearest lane $($approach lane$)$ on the minor road, determine the minimum distance at which the building should be located from the centerline of the outside lane of the major road to allow passenger cars on the minor road to cross the major road safely. Assume a grade of less than $3\%.(1$ km $=0\mathrm{.}62mi,1ft=0\mathrm{.}3048m$