Question using the Sine Rule and Bearings

[scotty_le_b]

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.

 

[scotty_le_b]

I've got it now there was angle missing from the diagram :L