An aeroplane flies in a direction 60 north at east then 30km straight east 10 km straight north find magnitude and direction of resultant displacement

Question:

An air plane flies 20 km in a direction 60 degrees north of east, then 30 km straight east, then 10 km straight north. find magnitude and direction of resultant displacement.

34.33 degree north of east is the direction of resultant displacement and 27.32 km , its magnitude.

Explanation:

Let us consider,

An aero plane in a Northern component   at 60 degrees = sin (60)

An aero plane in a Eastern component at 60 degrees = cos (60)  Find the x-coordinate at point C,

Find the y-coordinate at point C,

Now, displacement,  

To find direction,

So, 34.33 degree north of east compared to the starting location.