Question

An aeroplane flies from a town X on a bearing of N45E to another town Y, a distance of 200 km. It then changes course and flies to another town Z on a bearing of S60E. If Z is directly east of X, Calculate,
The distance from X to Z
The distance from Y to XZ
Distance from X to Z = 286.6 km
Distance from Y to XZ = 143.2 km
AAAaannndd the bot gets it wrong yet again!

If you draw the figure, you will see a lot of familiar 30,45,60 degree angles.
XZ = 200/√2 (1 + √3) = 386.37
Y-XZ = 200/√2 = 141.42

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