geometry

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an airplane is flying 75km south and 35 km west of an airport. It is flying at a heigh of 6 km

A)what is the straight-line distance to the airport?

B)What is the angle of elevation of the airplane, from the point of of view of the airport?

  • geometry -

    The plane is at a distance d where
    d^2 = 75^2+35^2+6^2 = 6886
    d = 83 km (82.99, but who's checking?)

    the angle of elevation θ = arctan(6/83) = 4.169° = 4°10'8"

  • geometry - PS -

    oops.
    θ = arcsin(6/83) = 4.145°

  • geometry -

    θ = arcsin(6/83) = 4.145°

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