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After an airplane takes off, it travels 10.4 km west, 8.7 km north, and 2.1 km up. How far is it from the take off point?

Answer :

onyebuchinnaji

The displacement of the airplane from the take off point after travelling the given distance is 15 km.

Displacement of the airplane

The displacement of the airplane is the shortest distance between the initial position of the airplane and the final position of the airplane. The displacement of the of the airplane is calculated as follows;

  • total upward distance = 8.7 km + 2.1 km = 10.8 km
  • total horizontal distance = 10.4 km

R² = Rx² + Ry²

R² = 10.4² + 10.8²

R² = 224.8

R = √224.8

R = 15 km

Thus, the displacement of the airplane from the take off point is 15 km.

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