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A​ hot-air balloon is flying at an altitude of 2958 feet. If the angle of depression from the pilot in the balloon to a house on the ground below is 28​, how far is the house from the​ pilot?

Respuesta :

mhanifa

Answer:

  • 6300.70 feet

Step-by-step explanation:

Let the distance between pilot and house be d.

The three points form a right triangle, with height of 2958 ft and opposite angle 28 degrees.

Find d using trigonometry

  • sine = opposite / hypotenuse
  • sin 28° = 2958/d
  • d = 2958/sin 28°
  • d = 6300.70 feet
  • Perpendicular=P=2958
  • Hypotenuse=H

Lets see

  • sinØ=P/H
  • sin28=2958/H
  • H=2958/sin28
  • H=6300.7ft
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