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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

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?

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE I CANNOT RETAKE THIS At take off a plane flies 100 km north before turning to fly 200 km east How far is its destina class=

Respuesta :

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.