Question

An airplane travels 209 Km on a straight course at an angle of 40 degrees, EAST OF NORTH. it then changes its course by moving 100 Km NORTH before reaching its destination. Determine the RESULTANT DISPLACEMENT of the airplane.

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Answer 1

As we see, the resultant displacement can be found by simple math:

$$D_y=100+209\text{ cos}40°=260\text{ km}.\\ D_x=209\text{ sin}40°=134\text{ km}.\\ D=292\text{ km}.$$