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Simple Trig Problem

  1. Mar 30, 2006 #1
    I'm in high level math, but this little easy problem I came across I can't get!
    Here it is (don't laugh):

    The below shows the route of Diane's trip from her house to her job. Diane travels 16 miles from A to B, 15 miles from B to C, and 4 miles from C to D. If she were able to travel from A to D directly, how much shorter, in miles, would the trip be?
    The figure is something like this (Ignore the dots I couldn't get it to work outherwise):
    ...........................................4
    .....................................C-------D
    .....................................|
    .....................................|
    .....................................|15
    .....................................|
    .....................................|
    .............A----------------B
    ........................16

    A quick explanation should do. I'm just having a mental block and its frusterating. The answer is 10 by the way.
     
  2. jcsd
  3. Mar 30, 2006 #2

    arildno

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    I think you have mixed up A and B in your diagram.

    However, try to answer the following questions:
    1. What is the VERTICAL distance from the level of A to to the level of D?
    2. What is the HORIZONTAL distance from the level of A to the level of D?
    3,. What must therefore the distince between A and D be?
     
  4. Mar 30, 2006 #3
    lol. I knew it was simple.
    Thanks a bunch.
     
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