Home
Class 14
MATHS
An aeroplane flying at a height of 3000 ...

An aeroplane flying at a height of 3000 m passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from some point on the ground are `60^(@)` and `45^(@)` respectively. Then the vertical distance between the two planes is

A

`1000(sqrt(3-1))` m

B

`1000sqrt(3)` m

C

`3000 sqrt(3)` m

D

1000 ` sqrt(3)` ( `sqrt(3)` − 1 ) m

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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 60o and 45o respectively.Find the vertical distance between the aeroplanes at that instant.

An aeroplane, when 3000 m high, passes vertically above anthoer aeroplane at an instant when the angles of elevation of the two planes from the same point on the ground are 45^(@)" and "60^(@) respectively. Find the vertical distance between the tow planes.

Knowledge Check

  • An aeroplane flying at a height 300 metres 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

    A
    `100sqrt(3)`
    B
    `100//sqrt(3)`
    C
    50
    D
    `150(sqrt(3)+1)`

  • An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of two planes from the same point on the ground are 60^(@) and 45^(@), respectively. What is the height of the lower plane from the ground?

    A
    50 m
    B
    `(100)/(sqrt3) m `
    C
    `100 sqrt3 m `
    D
    ` 150 ( sqrt3 +1 ) m`

  • An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60^@ and 45^@ respectively. How many metres higher is the one from the other?

    A
    286.53 m
    B
    274.53 m
    C
    253.58 m
    D
    263.83 m

    • Similar Questions

    Explore conceptually related problems

    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 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

    An aeroplane when 3500m high passes vertically above another aeroplane at an instant when the angles of elevation of the two aeroplanes from the same point on the ground are 45 and 30 respectively.Find the vertical distance 35. between the two aeroplanes.

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

    An aeroplane when 3000 m high passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60^(@) and 45^(@) respectively. How many metres higher is the one than the other?

    Home
    Profile