Task $4.$

A building by $4m$ is to be set out relative to the fence line as shown below. The curve for the pavement is set out from the corner of the house $C.$ The angles CDA & ABC are right angled triangles, angle ECF$=50,AD=200cm,BC=400$cmCE$=75m$ and $CD=6000mm.$

Not to Scale.

$2\mathrm{.}1$ Calculate the lengths $AB,AC$ & BD$.$

$2\mathrm{.}2$ Calculate the arc length and the cord length $(E$ & E$)$ Check your answer for the cord length using an alternative method.