Task $1.$ Calculating the curve using surveying practises

A client for one of your large development projects has come to you with a road design problem.

The engineering design has a particular layout for the current stage, however an ecological study has identified that there are two significant trees within the road pavement design $($see Figure $2\mathrm{.}2-1).$ The design for this section of road will need to be re$-$calculated to avoid the significant trees.

$1.$

Figure $2\mathrm{.}2-1$ Road Alignment design and tree location

The first step in the re$-$design process is to calculate a curve through the two trees, assuming the existing roads are the tangent lines for the curve.

Use appropriate manual methods to solve the circular geometry $($radius$,$ major chord bearing and distance, tangent lengths$)$ of the curve through the trees.

You may use a Close program for any traverse calculations, if required.