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A pilot wishes to fly from airport A to airport B. Airport B is located due south from airport A. The pilots aircraft averages a speed of 160 mi/hr. If the pilot is flying in a wind which blows out of the west at a speed of 40 mi/hr, then the pilot should head his plane in the direction of vector ...

Answer :

Onyebuchinnajigo

The pilot should head his plane in the direction of vector of 76⁰.

The given parameters;

  • velocity of the plane due south, a =160 mph
  • velocity of the wind west, b = 40 mph

  • Let the direction of the vector = θ

The direction of the vector can be determined by applying the principle of vector addition;

[tex]tan(\theta) = \frac{v_y}{v_x} \\\\\theta = tan^{-1} (\frac{160}{40} )\\\\\theta = 76 \ ^0[/tex]

Thus, the pilot should head his plane in the direction of vector of 76⁰.

Learn more about direction of vector here:https://brainly.com/question/2142917

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