A boy moves from point X and walks 285m to Y on a bearing of 078° . then moves due south to a point Z which is 307m from X . calculate:

Question

(a) the bearing of X from Y
(b) the distance between Y,Z

Answer 1

draw triangle XYZ. Then using the law of sines,
sinZ/285 = sin78°/307
The bearing of X from Y is 360-Z

Now you know angles Y and Z, so X is easy.
use the law of cosines to find YZ:
YZ^2 = 285^2 + 307^2 - 2*285*307 cosX