Represent graphically a displacement of $40 \, km$,$30^{\circ}$ east of north.

(N/A) To represent the displacement of $40 \, km$,$30^{\circ}$ east of north graphically:
$1$. Draw a coordinate system with the North,South,East,and West directions.
$2$. Let the origin $O$ represent the starting point.
$3$. Draw a ray $OP$ starting from $O$ such that it makes an angle of $30^{\circ}$ with the North direction towards the East.
$4$. Using a scale of $1 \, cm = 10 \, km$,mark the length of the vector $OP$ as $4 \, cm$ to represent $40 \, km$.
$5$. The vector $\overrightarrow{OP}$ represents the required displacement.