Q$1.(50$ Points$)$

An upgrade of $3\mathrm{.}0\%$ meets a downgrade of $2\mathrm{.}3\%$ at station kilometer $10+7731\mathrm{.}27$ and at

elevation of $60\mathrm{.}30$ meters. The length of the vertical curve is $13$ lmeters. Calculate the distance of

the highest point on the curve from the start of the curve.