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From an aeroplane flying, vertically abo...

From an aeroplane flying, vertically above a horizontal road, the angels of depression of two consecutive stones on the same side of the aeroplane are observed to be `30^(@)` and `60^(@)` respectively. The height at which the aeroplane is flying in km is

A

`(4)/(sqrt(3))`

B

`(sqrt(3))/(2)`

C

`(2)/(sqrt(3))`

D

2

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • An aeroplane flying at a height of 3000 m above the ground passes vertically another place at an instant when the angle of elevation of the two planes from the same point on the ground are 60^(@) and 45^(@) respectively. The height of the lower plane from the ground is :

    A
    500 m
    B
    1000
    C
    `1000 sqrt3m`
    D
    `100 (sqrt3 +1)m.`

  • An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45^(@) and 30^(@) respectively. Then the distance between the ships if the line joining the points to the base of the cliff

    A
    ` 526-4m `
    B
    `5364 m `
    C
    ` 54.6 m`
    D
    None of these

  • The angles of elevation of an aeroplane flying vertically above the ground as observed from two consecutive milestones 1 km apart are 45^(@) and 60^(@) . The height of the aeroplane from the ground is

    A
    `(sqrt(3)+1)` km
    B
    `(3+sqrt(3))` km
    C
    `1/2(sqrt(3)+1)` km
    D
    `1/2(3+ sqrt(3))` km

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