Question

19. An airplane leaves an airport and flies due
north at a speed of 1000 km/hr, at the same
time another airplane leaves the same airport
and flies due west at the speed of 1200 km/hr.
How far apart will be the two plane after one
hour?
(2 Points)​

Answer 1

Answer:

Step-by-step explanation:

The first aeroplane leaves an airport and flies due north at a speed of 1000 km per hr.

∴ Distance travelled in 1 hrs.

=1000×1=1000 km

Similarly, Distance traveled by second aeroplane,

=1200×1=1200 km

In △ABC,

BC is distance travelled by first aeroplane and BA is the distance traveled by second aeroplane.

Hence, applying Pythagoras Theorem,

AC  ^2=AB^2 +BC^2

∴ AC  ^2  =1000 ^2 +1200^2

∴ AC= 1562.04 km

Hence, two planes are 1562.04  km apart.

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