The ambiguous triangle case

[Veronica_Oles]

Homework Statement

kettletown is 27km from teatown and 32km from coffee town. The angle from kettletown to coffee town to teatown is 29^o. 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.

 

[Let'sthink]

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.

 

[ehild]

Homework Statement

kettletown is 27km from teatown and 32km from coffee town. The angle from kettletown to coffee town to teatown is 29^o. 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.

 

[Let'sthink]

Veronica, R u not well versed with sine and cosine formulas for triangles?

 

[SammyS]

Veronica, R u not well versed with sine and cosine formulas for triangles?

You misspelled the words "Are" and You".

 

[Let'sthink]

sorry for the misspellings of are and you!