Problem $8$

Using $100\text{'}$ stationing, what is the minimum sight distance required with a curve $25$ stations long and the following information: grades $g1=+3\mathrm{.}0\%,g2=-2\mathrm{.}9\%,h1=4\mathrm{.}0ft,h2=3\mathrm{.}0ft.$ Assume $L=\frac{S^2(g_1-g_2)}{2(\sqrt[\phantom{2}]{h_1}+\sqrt[\phantom{2}]{h_2}{)}^2}S.$ Show calculations.

Hint: Rearrange $L=\frac{S^2(g_1-g_2)}{2(\sqrt[\phantom{2}]{h_1}+\sqrt[\phantom{2}]{h_2}{)}^2}$