Question $3$

A vertical summit curve is to be inserted to connect an upward gradient of $2\mathrm{.}5\%$ to a downward

gradient of $2\%.$ The height of the tangent point at the beginning of the curve is $166\mathrm{.}240m$ above mean

sea level with chainage $1145\mathrm{.}11m,$ and because of site restrictions, it is necessary that the highest point

along the curve must be $167\mathrm{.}55m$ above mean sea level. The curve is symmetrical.

Calculate:$-$

The total length of the curve.

Staking data for the curve using $20m$ intervals with short chords on both ends of the curve.