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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.

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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.

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Knowledge Check

  • 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 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 is vertically above the another plane flying at a height of 5000 feet from the ground. The angle of elevation of these two planes from a points on the ground are respectively pi/3 and pi/4 . What is the vertical distance between these two planes ?

    A
    `2500(sqrt(3)+1)` feet
    B
    `5000sqrt(3)` feet
    C
    `5000(sqrt(3)-1)` feet
    D
    `5000(sqrt(3)+1)` feet

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