$[$Civil Engineering Subject$]$

Answer Question $3$ part $($a$)$

In a road improvement project, a circular curve is to be set out so that it is tangential to two straight lines AB & BC$.$ They are connected by a circular curve of radius $85\mathrm{.}274$m$.$ The chainage of the intersection point $($PI$)$ is $5+48\mathrm{.}00.$ The Deflection angle is observed as $60$o$46\text{'}13".$ The layout of the circular curve is shown in the Figure Q$2.$

$($a$)$ Determine the chainages of BC and EC$.(8$ marks$)$