An aeroplane leaves an airport and flies due north at a speed of 1000km/hr. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km/hr. How far apart will be the two planes after 1 hours?
Distance traveled by the plane flying towards north in `1 1/2`hrs
`= 1000xx1 1/2=1500`km
Similarly, distance travelled by the plane flying towards west in `1 1/2`hrs
Let these distances are represented by OA and OB respectively.
Now applying Pythagoras theorem
Distance between these planes after `1 1/2`hrs AB `=sqrt(OA^2+OB^2)`
So, distance between these planes will be `300sqrt61` km, after `1 1/2`hrs