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An airplane flying at 650 miles per hour has a bearing of 50°. After flying for 1.5 hours, how far north and how far east will the plane have traveled from its point of departure? (Round your answers to the nearest whole number.)

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sqdancefan

Answer:

  • 627 miles north
  • 747 miles east

Step-by-step explanation:

Bearing angles are measured east of north, so in (N, E) coordinates, the final position of the plane is ...

  (1.5 h)(650 mi/h)(cos(50°), sin(50°)) = (975cos(50°), 975sin(50°)) mi

  = (626.72, 746.89) mi

The plane will be 627 miles north and 747 miles east of its point of departure.

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