Question using the Sine Rule and Bearings

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The discussion revolves around solving a geometry problem involving three towns represented as vertices of a scalene triangle, with specific bearings and distances provided. The user successfully identified angle DFG as 48 degrees using a z-angle but struggled with finding angle GFE, realizing that a missing angle in the diagram was the source of confusion. The sine rule is referenced as a key equation for solving the angles and distances in the triangle. The user seeks assistance for calculating the remaining angles and the bearing of E from D, as well as the distance between D and F. The conversation highlights the importance of accurate diagram representation in solving geometric problems.
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Homework Statement


3 towns are located at D,F & E; the vertices of an scalene triangle. The bearing of F from D is 48 degrees. D to E=640m and E to F=430m. Point G is located at the end of a south line at F.

a)i)Find angle DFG
ii) Find angle GFE
iii) Find angle DFE

b) Calculate angle EDF
c)Calculate the bearing of E from D
d)What is the distance between D & F


Homework Equations


a/sinA=b/sinB=c/sinC


The Attempt at a Solution


a)i) I got 48 degrees because I used a z-angle
ii) This is the one I can't get so I can't do the rest. I've tried quite a few ways but can't seem to get it so there must be something I'm missing.
 
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I've got it now there was angle missing from the diagram :L
 

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