Two highways intersecting at a deflection angle of $44$deg $30$ are to be connected by a $3$ circular curve by means of two equal transition curve to each end. Maximum speed of the car is $35$ mph; super$-$elevation $5$ inch and the rate of super$-$elevation $1\mathrm{.}5$ inch$/$sec$.$ Calculate the necessary data to set out first transition curve and circular curve. Chainage at P$.$I $=15\mathrm{.}30$ chain. Take peg interval equal to $1$ chain for circular curve.