A man travels from a village of X in a bearing of 060¤ to a village which is 20km away from Y.He travels to a village Z on a bearing of 195¤.If Z is directly east of X,calculate correct to 3 significant figures,the distance of:(i)Y from Z (ii)Z from X
This is messed up. I can only assume that Y is 20km away from X. Otherwise there is no way to figure anything out, since you give no other distances.
If you draw the diagram, you can easily see that angles
X=30°, Y=45°, Z=105°
If we label the sides opposite X,Y,Z as x,y,z then using the law of sines,
x/sin30° = y/sin45° = 20/sin105°