Question

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?

Answer 1

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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