Home
Class 12
MATHS
An aeroplane flying horizontally 1 km...

An aeroplane flying horizontally 1 km above the ground is observed at an elevation of `60o` . After 10 seconds, its elevation is observed to be `30o` . Find the speed of the aeroplane in km/hr.

Text Solution

Verified by Experts

The correct Answer is:
`240sqrt(3)` km/hour
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle of elevation of an aeroplane from a point on the ground is 45^@ . After a flight of 15 seconds, the elevation changes to 30^@ . If the aeroplane is flying at a height of 3000 metres, find the speed of the aeroplane.

An aeroplane flying at a height 300 metre above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60^@ and 45^@ respectively. Then the height of the lower plane from the ground in metres is

The angle of elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be 30^(@) . After walking 120 m towards it on a level groud, the angle of elevation is found to be 60^(@) . Then the height of the object (in metres) is

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45o . It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30o . Then the speed (in m/s) of the bird is (1) 40(sqrt(2)-1) (2) 40(sqrt(3)-2) (3) 20""sqrt(2) (4) 20(sqrt(3)-1)

An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is 30^(@) , what is the speed of the aircraft ?

An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10 s apart is 30^(@) , what is the speed of the aircraft ?

The angle of elevation of an aeroplane from a point P on the ground is 60^@ . After a flight of 15 seconds, the angle of elevation changes to 30^@ . If the aeroplane is flying at a constant height of 1500 sqrt3 m, find the speed of the aeroplane

The angle of elevation of a jet plane from a point A on the ground is 60o . After a flight of 30 seconds, the angle of elevation changes to 30o . If the jet plane is flying at a constant height of 3600sqrt(3)m , find the speed of the jet plane.

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^0&45^0 respectively. Find the vertical distance between the aeroplanes at that instant.

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^@ and 45^@ respectively. Find the vertical distance between the aeroplanes at that instant.