An aeroplane flies from a town X on a bearing of N 45 degree E to another a town Y on a distance of 200km.it then changes course and flies to another town Z on a bearing of S 60 degree E.if Z is directly east of X.Calculate (a) the distance from X to Y (b) the distance from Y to XZ

8 answers

heading, not bearing.
From Y, Z is on a bearing of S60E, so that is the plane's heading.

200 @ N45E = <141.42,141.42>
z @ S60E = <.866z,-.50z>

Since Z is directly east of X, you need

141.42 - 0.50z = 0

So, evaluate the distance z, and then the distance XZ will be 141.42 + 0.866z

141,386

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Answer

show the diagram.

Show the diagram