3. An aeroplane leaves an airport and flies due north at a speed of 10

1.	3. An aeroplane leaves an airport and flies due north at a speed of 1000kn/hr. At thesame time another aeroplane leaves the same airport and flies due west at a speedof 1200km/hr. How far apart will be the two planes after 1 hour?
Answer» Speed of first aeroplane s1 = 1000 km/hrDistance covered by first aeroplane in 1.5 hrsd1 = 10001.5 = 1500 km Speed of second aeroplane s2 = 1200 km/hrDistance covered by second aeroplane in 1.5 hrsd2 = 12001.5 = 1800 km As first aeroplane travels in North direction and second in West direction, so they will form right triangle Let distance between both aeroplanes be x Then,Using pythagoras theoram x^2 = 1200^2 + 1800^2 x^2 = 1440000 + 3240000x^2 = 4680000x = 60*sqrt(13)

3. An aeroplane leaves an airport and flies due north at a speed of 1000kn/hr. At thesame time another aeroplane leaves the same airport and flies due west at a speedof 1200km/hr. How far apart will be the two planes after 1 hour?

Answer»

Speed of first aeroplane s1 = 1000 km/hrDistance covered by first aeroplane in 1.5 hrsd1 = 1000*1.5 = 1500 km

Speed of second aeroplane s2 = 1200 km/hrDistance covered by second aeroplane in 1.5 hrsd2 = 1200*1.5 = 1800 km

As first aeroplane travels in North direction and second in West direction, so they will form right triangle

Let distance between both aeroplanes be x

Then,Using pythagoras theoram x^2 = 1200^2 + 1800^2 x^2 = 1440000 + 3240000x^2 = 4680000x = 60*sqrt(13)