# An aeroplane leaves an airport and flies due north at a speed of 1000kmph.At same time another airplane leaves the same airport and flies due west at a speed of 1200kmph.How far apart will be the 2 planes after 1 and half hours?

2
by pikachu11

2015-03-23T21:26:41+05:30

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Let the point of departure be A.  Let the aeroplane towards the North be at N and the aeroplane towards the West be at E after 1 and half hours.
the distance AN = 1000 * 1.5 = 1500 km
the distance AW = 1200 * 1.5 = 1800 km

ANW is a right angle triangle.  NW is the diagonal.
NW² = AN² + AW² = 1500² + 1800²
NW = 2, 343.075 km

2015-03-24T02:01:46+05:30

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The two planes are 2,343.07 km apart. See the attachment for calculations.