The reduced level at the intersection of a falling gradient of $-$P $\%$ and a rising

gradient of $+$Q $\%$ on a proposed vertical curve road design is XXX$.$XXm$.$ Given

that the K value is KK$.$ The through chainage of the vertical road curve

intersection point is QQQQm and the proposed vertical curve is to have equal

tangents. As a civil engineer, you are required to prepare the following

vertical curve design calculations :

a$)$ The through chainage of the points along the proposed vertical curve if

the minimum required length is to be used $($LV

$)$ and the proposed vertical

curve setting out data at $20$ meters intervals.

b$)$ The chainage and reduced level of the lowest point on the road curve.

c$)$ Through chainage at the lower point was located exactly under a bridge,

if the RL of the soffit is SS$.$SSm$,$ calculate the headroom based on the

proposed vertical curve design.$\backslash$table$[[P,Q,K,RL(m),$Chainage $(m),RL(m)$