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A plane is flying over your head at 30, 000 feet. You calculate the angle of elevation to be 65 degrees . At that time how far is the plane from you?(round to the nearest foot)

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mhanifa

Answer:

  • 33101 ft

Step-by-step explanation:

  • Let the distance is x.
  • The height is 30000 ft.
  • The angle of elevation is 65°

Use trigonometry to solve.

x is the hypotenuse and 30000 ft is the opposite side of 65° angle:

  • sine = opposite / hypotenuse
  • sin 65° = 30000 / x
  • x = 30000 / sin 65°
  • x = 33101 ft (rounded)

Refer to the attachment

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