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An airplane takes off from point A. The horizontal distance from point A to point B is 4000 feet. The plane flies to a point 3000 feet directly above point B. Find the angle of elevation from point A to the plane

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Answer to a math question An airplane takes off from point A. The horizontal distance from point A to point B is 4000 feet. The plane flies to a point 3000 feet directly above point B. Find the angle of elevation from point A to the plane

Expert avatar
Jett
4.7
92 Answers
To find the angle of elevation, we can use trigonometry. The angle of elevation (θ) can be calculated using the tangent function: tan(θ) = opposite / adjacent In this case, the opposite side is the vertical distance (3000 feet) and the adjacent side is the horizontal distance (4000 feet). So, tan(θ) = 3000 / 4000 Now, we can find the angle θ by taking the arctan (inverse tangent) of this ratio: θ = arctan(3000 / 4000) Using a calculator, we find: θ ≈ 36.87 degrees So, the angle of elevation from point A to the plane is approximately 36.87 degrees.

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