An aeroplane leaves an airport and flies due north at the speed of 800 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at the speed of 600 km per hour. How far apart will be the two planes after half an hour
Answers
Step-by-step explanation:
We know that,
Distance = speed × time
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
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(1/2) hours?
AB is the distance travelled by aeroplane travelling towards north
AB = 1000 km/hr × [Math Processing Error] h
= 1000 × 3/2 km
AB = 1500 km
BC is the distance travelled by another aeroplane travelling towards west
BC = 1200 km/hr × [Math Processing Error] h
= 1200 × 3/2 h
BC = 1800 km
Now, In ΔABC , ∠ABC = 90°
AC2 = AB2 + BC2 (Pythagoras theorem)
= (1500)2 + (1800)2
= 2250000 + 3240000
AC2 = 5490000
AC = √549000
= 300√61 km
The distance between two planes after [Math Processing Error] hr = 300√61 km