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From the top of a building 60m high the ...

From the top of a building 60m high the angles of depression of the top and the bottom of a tower are observed to be `30^0a n d60^0` . Find the height of the tower.

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To solve the problem, we will use trigonometric ratios and the concept of angles of depression. ### Step-by-Step Solution: 1. **Understanding the Problem**: - We have a building of height 60 m. - The angles of depression to the top and bottom of the tower are 30° and 60°, respectively. - We need to find the height of the tower, which we will denote as \( h \). ...
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From the top of a building 60m high the angles of depression of the top and the bottom of a tower are observed to be 30o and 60o. Find the height of the tower.

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Knowledge Check

  • From the top of a building 60 metre high ,the angles of depression of the top and bottom of a tower are observed to be 30^(@)and60^(@) respectively.The height of the tower in metre is :

    A
    a.40
    B
    b.45
    C
    c.50
    D
    d.55

  • From the top of a cliff 90 m high, the angles of depression of the top and bottom of a tower are observed to be 30^(@) and 60^(@) respectively. The height of the tower is :

    A
    45 m
    B
    60 m
    C
    75 m
    D
    30 m

  • From the top of the cliff 150 m high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60°, respectively. The height of the tower is

    A
    100 m
    B
    `50sqrt(3) m`
    C
    `133 1/3`
    D
    `100(sqrt(3)-1)`

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