To go from town A to town B a plane must fly about 1780 km at an angle of 30 degrees west of north how far north of A is B? (ans : 1542 km)

how to do the sum??



From the above figure,cos300=ACABOr AC=AB cos300Given, AB=1780 kmSo, AC=1780cos300=1780×32=1541.48 kmi.e. B is 1541.48 km north of A.cos600=ADABOr AD=AB cos600=1780×12=890 kmi.e. B is 890 km west of A.
 

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