VILLAGES A, B, C, D, ARE SUCH THAT B IS 4 KM DUE EAST OF A, C IS 3 KM DUE SOUTH OF B AND D IS 4 KM S50DEGREEW FROM C. DRAW AND CALCULATE THE DISTANCE AND BEARING OF A FROM D.

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well, if A is at (0,0) then D = (0.94,-5.57)
That should get you started.
VILLAGES A, B, C, D, ARE SUCH THAT B IS 4 KM DUE EAST OF A, C IS 3 KM DUE SOUTH OF B AND D IS 4 KM S50DEGREEW FROM C. DRAW AND CALCULATE THE DISTANCE AND BEARING OF A FROM D.