Results 1 to 2 of 2

Math Help - Geography problem

  1. #1
    Junior Member
    Joined
    Aug 2011
    Posts
    73

    Geography problem

    The latitude of Jackson, Mississippi is 32degrees17minutes N, and the latitude of St. Louis, Missouri, is 38degrees37minutes N. The radius of Earth is about 4000 miles.

    a) About how far apart are the two cities?

    b) If Earth makes one revolution every 24 hours, what is the linear velocity of a point near the equator?

    Having severe trouble over here. For a) I know the difference of their latitudes is 6degrees20minutes but I don't know what to do from there.

    And for b) I did (4000)(2pi/24). I don't know if it's right though.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123

    Re: Geography problem

    Quote Originally Posted by explodingtoenails View Post
    The latitude of Jackson, Mississippi is 32degrees17minutes N, and the latitude of St. Louis, Missouri, is 38degrees37minutes N. The radius of Earth is about 4000 miles.

    a) About how far apart are the two cities?
    Use proportions:

    \dfrac{\overbrace{2\pi\cdot 4000\ mi}^{circvumference\ of\ Earth}}{360^\circ} = \dfrac d{6^\circ 20'}

    Solve for d.

    b) If Earth makes one revolution every 24 hours, what is the linear velocity of a point near the equator?

    Having severe trouble over here. For a) I know the difference of their latitudes is 6degrees20minutes but I don't know what to do from there.

    And for b) I did (4000)(2pi/24). I don't know if it's right though.
    Use the definition of speed = \dfrac{distance}{time}

    v = \dfrac{\overbrace{2\pi\cdot 4000\ mi}^{length\ of\ equator}}{24\ h}

    The result is in \frac{mi}h
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum