Post a New Question

Math

posted by .

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°

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

More Related Questions

Post a New Question