Correct answer only ! i cannot retake at take off, a plane flies 100 km north before turning to fly 200 km east. how far is its destination from where the plane took off?

 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 =   ≅ 224 km

 Option C is the correct answer.