Question

Represent graphically a displacement of 50Km, ${30^ \circ }$ east of north.

Answer 1

We draw the directions north, south, east, and west on the graph. Keeping the scale as per your requirement, draw a line for displacement between the two directions. Plot the angle between the line representing the displacement and the line representing the direction of which we are given the angle.

• The directions North, South, East, and West are perpendicular to each other.
• North, South, East, and West are 4 cardinal directions that are generally represented by capital letters N, S, E, and W respectively. The direction is measured using a device called a compass.

Complete step by step answer:
We have to represent displacement 50Km,${30^ \circ }$ east of north on the graph.
We first plot the four directions that are perpendicular to each other on the graph.

Now we have to show a displacement 50Km at an angle i.e. ${30^ \circ }$ east of north.
So the displacement lies between the directions North and East.
Represent ${30^ \circ }$ east of north by taking an angle ${30^ \circ }$ from the north direction to the east direction.

Thus, OA represents 50Km i.e. ${30^ \circ }$east of north.
Additional Information:

• North is ${000^ \circ }$, East is ${90^ \circ }$, South is ${180^ \circ }$ and west is ${270^ \circ }$.
• Directions between the two consecutive cardinal directions are represented in the diagram below
  

Note:
Students might get confused while plotting the angle ${30^ \circ }$ east of north and plot ${30^ \circ }$ anywhere between the directions north and east. Keep in mind the angle is given with respect to directions. We move from the direction which is written after the word ‘of’ and move in the direction which is written before the word ‘of’.