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The tops of two towers of height x and y...

The tops of two towers of height x and y standing on a level ground subtend angles of `30^(@)` and `60^(@)` respectively at the centre of the line joining their feet. Find x:y

Text Solution

Verified by Experts

The correct Answer is:
`1:3`
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Knowledge Check

  • The angle of depression of the top and bottom of a building 7 m tall from the top of a tower is 45^(@) and 60^(@) respectively. Find the height of the tower in metres.

    A
    `7(3+sqrt(3))`
    B
    `7/2(3-sqrt(3))`
    C
    `7/2(3+sqrt(3))`
    D
    `7(3-sqrt(3))`

  • The angles of elevation of the top of a tower observed by two observers i ng on a road, on the opposite sides of the tower are 30^(@) and 60^(@) respectively. If the observer and the tower are in the same vertical plane and the observers are 400 metres apart, then the height of the tower is:

    A
    `100 sqrt3`
    B
    `200 sqrt3`
    C
    `300 sqrt3`
    D
    None of these

  • The angles of elevation of the top of two vertical towers as seen from the middle point of the line joining the feet of the towers are 60^(@) and 30^(@) respectively. The ratio of the height of the towers is

    A
    `2:1`
    B
    `3:1`
    C
    `3:2`
    D
    `sqrt3:1`

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    If the angles of elevation of the top of a tower from three colinear points A, B and C, on a line leading to the foot of the tower, are 30^(@), 45^(@) and 60^(@) respectively, then the ratio, AB :BC, is :

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