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find the parralel of latitude along which a journey of 166km makes a change of 4 degree in longitude give answer to the nearest degree

  • Math -

    4 degrees = 1/90 of circumference
    radius at latitude θ = r cosθ
    r of earth is 6378 km

    circumference at latitude θ is 2π*6378 cosθ

    we want 1/90 (2π*6378 cosθ) = 116
    so,
    cosθ = (116*90)/(2π*6378) = 0.26
    θ = 75°

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