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Pre-Cal

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Angles of elevation to an airplane are measured from the top and the base of a building that is 40 m tall. The angle from the top of the building is 37°, and the angle from the base of the building is 40°. Find the altitude of the airplane. (Round your answer to two decimal places.)

  • Pre-Cal - ,

    draw a diagram.

    seen from the plane, the top and bottom of the building subtend an angle of 3°

    using the law of sines, the distance from the top of the building to the plane can be found by

    40/sin3° = d/sin50°
    d = 585.48 m

    (h-40)/d = sin37°
    h = 392.35 m

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