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The ambiguous triangle case

  • #1

Homework Statement


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.

Homework Equations




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.
 

Answers and Replies

  • #2
348
80
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.
 
  • #3
ehild
Homework Helper
15,427
1,823

Homework Statement


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.

Homework Equations




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.
Just draw an arbitrary triangle, and denote the vertices by K, T, C, representing the towns.
 
  • #4
348
80
Veronica, R u not well versed with sine and cosine formulas for triangles?
 
  • #5
SammyS
Staff Emeritus
Science Advisor
Homework Helper
Gold Member
11,253
972
Veronica, R u not well versed with sine and cosine formulas for triangles?
You misspelled the words "Are" and You".
 
  • #6
348
80
sorry for the misspellings of are and you!
 

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