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Marsha sees an airplane flying overhead. The spot on the ground that is directly under the plane is 3,600 feet from Marsha's house. She sees the plane at a 45o angle of elevation. What is the elevation of the plane?

Marsha sees an airplane flying overhead The spot on the ground that is directly under the plane is 3600 feet from Marshas house She sees the plane at a 45o angl class=

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oladayoademosu

The elevation of the plane is 3600 ft

Let

  • h = elevation of plane,
  • d = distance from Marsha's house to spot on ground below plane = 3600 feet and
  • Ф = angle of elevation of plane = 45°

From the triangle, we have the trigonometric ratio

tanФ = h/D

Elevation of the plane

Making h subject of the formula, we have

h = DtanФ

substituting the values of the variables into the equation, we have

h = DtanФ

h = 3600 ft × tan45°

h = 3600 ft × 1

h = 3600 ft

So, the elevation of the plane is 3600 ft

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