A tall rectangular$-$shaped building has one of its edges running parallel to$,$ and located $13\mathrm{.}5$ m away from the centerline of the left lane of a local two$-$lane road. The other $($perpendicular$)$ edge of the building runs parallel to$,$ and is located $19\mathrm{.}5$m from the centerline of the left lane of an intersecting road as shown. If the maximum speed limit on the intersecting road is $60k\frac{m}{h}r,$ what should the speed limit on the local road be such that the minimum sight distance is provided to allow the drivers of approaching vehicles to avoid imminent collision by adjusting their speeds? Approach grades of the two intersecting roads are $2\%.$