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Math Help - Distance Between Towns

  1. #1
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    Distance Between Towns

    An airplane flying at 37,000 feet takes two observations of two towns. The first angle of depression is 32 degrees and the second is 76 degrees. How far part are the two towns?

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  2. #2
    Super Member craig's Avatar
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    I take it angle of depression is measured from the horizontal view of the airplane?

    Drawing this out will give you a right angled triangle, with a smaller right angled triangle contained within this, both with a side of 37,000 ft.

    Using the tan rule, we get the first town to be 59212.38 ft away from the point directly below the airplane. Repeating this for the second town and we get this town to be 9225.14 ft away from the point below the airplane.

    If we subtact the second value from the first, we then get the distance between the towns to be 49987ft to the nearest foot.

    This is presuming I have not done it some overly complicated way again

    Hope this helps

    Craig
    Last edited by craig; January 7th 2009 at 03:45 PM.
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  3. #3
    Super Member craig's Avatar
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    The image below shows how I got the angles for the trig, hope it's not too confusing

    Distance Between Towns-towns.bmp
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  4. #4
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    Thanks

    Quote Originally Posted by craig View Post
    The image below shows how I got the angles for the trig, hope it's not too confusing

    Click image for larger version. 

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