Anonymous
Anonymous asked in Science & MathematicsGeography · 1 decade ago

I need to Find the distance between the cities. Assume that Earth is a sphere of radius 4000 miles ?

The cities are

Johannesburg, South Africa 26° 8' S

Jerusalem, Israel 31° 46' N

3 Answers

Relevance
  • Elmyr
    Lv 7
    1 decade ago
    Favorite Answer

    You need to know the longitude too.

    Lat1 = first latitude in radians

    Lon1 = first longitude in radians

    Lat2 = second latitude in radians

    Lon2 = second longitude in radians

    r = radius

    d = distance (same unit as radius)

    Convert degrees to decimal:

    decimal = D + M/60 + S/3600

    Convert degrees to radians

    radians = degrees * π/180°

    Spherical law of cosines:

    d = r * arccos[sin Lat1 * sin Lat2 + cos Lat1 * cos Lat2 * cos (Lon2 - Lon1)]

    Johannesberg: -26.204444,28.045556

    Jerusalem: 31.783333,35.216667

    d = 4000 * arccos[sin -26.204444π/180 * sin 31.783333π/180 + cos -26.204444π/180 * cos 31.783333π/180 * cos (35.216667π/180 - 28.045556π/180)]

    d = 8105.015755 miles

    d ≈ 8105 miles

  • Anonymous
    4 years ago

    Johannesburg is the second greatest city in Africa, with more than 3 million persons calling this bustling city home and if you intend to visit this extraordinary city then that hotelbye is the spot to start. Johannesburg presents readers an experience as distinctive and varied as the city itself. Whether you are on business, in search of a social experience, an adrenaline hurry or just want to relax and relax for some times, the city of Johannesburg has everything you're trying to find and more! In Johannesburg you are able to go to the Soweto (an abbreviation for South-western Townships) at 20 kilometres southwest of Johannesburg. That place presents guests a journey into the heart of the struggle for freedom and the birthplace of the struggle for democracy.

  • 5 years ago

    Trip #1: d = rt Trip #2: D = RT t + T = 4.4 r = 50 mph R = 60 mph d = D => rt = RT => r(4.4 - T) = RT => 4.4r = RT + rT => T = ( 4.4r ) / (R + r) put in the numbers T = 4.4*50 / 110 T = 2 [hrs] Therefore D = RT = 60*2 = 120 [mi] and d = rt = 50*(4.4 - 2) = 120 [mi] The distance is 120 miles.

Still have questions? Get your answers by asking now.