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8 September, 07:39

Determine the geographic coordinates of St. John's (NL) and Papeete (Tahiti). Calculate the angular distance (in degrees and radians) and the distance in km between the two cities.

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  1. 8 September, 08:04
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    Here, geographic coordinates of

    St. John's (NL) is latit

    The angular distance is 100o

    To covert it into radians,

    1o = pie / 180o = 0. 0174444 radians

    therefore,

    100o = ?

    multiply 100 with 0. 0174444 we get,

    = 1. 7444 radians

    Now we have a formula to calculate the distance between these two cities.

    Let y is the distance between two cities

    Therefore,

    Y = (x/360) x 2 x pie x R

    Here,

    x = angular distance between the cities.

    pie = 3. 14

    R = radius of earth = 6371km

    Hence, by putting these values in the above formula we get,

    Y = (100/360) x 2 x 3. 14 x 6371

    = (0. 277777) x 40009. 88

    = 11113. 82 km
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