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The ambiguous triangle case

  1. Apr 23, 2016 #1
    1. The problem statement, all variables and given/known data
    kettletown is 27km from teatown and 32km from coffee town. The angle from kettletown to coffee town to teatown is 29o. Determine the two possible distances between teatown and coffee town.
    2. Relevant equations


    3. The attempt at a solution
    The only problem I'm having is trying to draw the triangle I am insure of how to do it.
     
  2. jcsd
  3. Apr 23, 2016 #2
    You try; two triangles can be drawn with this data. Use sine formula? Do you get only one value of theta for angle opposite to 32 side, angle opposite to 27 is 29?. Think it over while drawing! When included angle is given only one triangle can be drawn as cosine formula fixes the third side.
     
  4. Apr 24, 2016 #3

    ehild

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    Just draw an arbitrary triangle, and denote the vertices by K, T, C, representing the towns.
     
  5. Apr 24, 2016 #4
    Veronica, R u not well versed with sine and cosine formulas for triangles?
     
  6. Apr 24, 2016 #5

    SammyS

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    You misspelled the words "Are" and You".
     
  7. Apr 24, 2016 #6
    sorry for the misspellings of are and you!
     
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