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Finding the Bearing of an Angle...

The question is this; In the diagram X, Y and Z represent the locations of three towns. The town Y is due eat of X and the bearing of Z from Y is 046degrees

Attachment 28612

I have done section i and ii

(correct me if i am wrong)

for

i) Angle, xyz = 90 + 46 = 136 degrees.

ii) Then i use Cosine rule to find a side which the side equals 37.1km.

iii) However this is where i have become stuck... this is due in 5 days so i have time but its the weekend, and i dont have math those days... can anyone explain this to me thanks :)

Re: Finding the Bearing of an Angle...

Imagine a vertical line from z "south". That will be parallel to the vertical line from y "north" and, by the "alternate interior angles" theorem for parallel lines, the angle from "south" to the line yz s also 46 degrees. Add 180 degrees to get the bearing (from "north").