Answer:
 Option C is the correct answer.
Explanation:
  Let east represents positive x- axis and north represent positive y - axis. Horizontal component is i and vertical component is j.
 At take off, a plane flies 100 km north before turning to fly 200 km east, which means plane first travels 100 km north and then travels 200 km east.
 100 km north, Displacement = 100 j km
 200 km east, Displacement = 200 i km
Total displacement = 100 j + 200 i = ( 200 i + 100 j ) km
 Magnitude of displacement =  [tex]\sqrt{200^2+100^2} = \sqrt{50000} =223.61 km[/tex] ≅ 224 km
 Option C is the correct answer.
