Cartesian Coordinates

Discussion in 'Physics' started by Bigcountry, May 26, 2010.

  1. Bigcountry

    Thread Starter Active Member

    Jul 4, 2008
    71
    0
    I am puzzled by this and I don't see where i am making a mistake. must be over looking something or looking at too much. nevertheless give it shot and see who can come up with the right answer..

    A radar unit indicates that the distance between its antenna and a plane is 37,417 feet.
    It also indicates that the plane is 30,000 feet north and 10,000 feet east of the antenna.
    What is the altitude of the plane?
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,137
    1,786
    Neglecting the curvature of the earth, the distance along the ground of a point underneath the plane is:
    Code ( (Unknown Language)):
    1.  
    2. SQRT(30,000^2 + 10,000^) = 31,623 ft. from the antenna
    3.  
    and the altitude is:
    Code ( (Unknown Language)):
    1.  
    2. ALT = SQRT(37,417^2 - 31,623^2) = 20,000 ft AGL
    3.  
     
  3. beenthere

    Retired Moderator

    Apr 20, 2004
    15,815
    282
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