An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1.5 hours?

NCERT Class X
Mathematics - Mathematics

Chapter _Triangles

1

Answers

2015-06-11T20:29:59+05:30
Distance covered by the first plane in 1.5 hours = 1500 km 

Distance covered by the second plane in 1.5 hours = 1800 km
The position of the two planes after 1.5 hour journey can be shown by a right triangle and we need to find the hypotenuse to know the aerial distance between them.
Here; h = ? p = 1800 km and b = 1500 km
From Pythagoras theorem;
h2 = p2 + b2Or, h2 = 18002 + 15002= 3240000 + 2250000 = 5490000Or, h = 300√61 km
1 2 1