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The angle of elevation of the top of a c...

The angle of elevation of the top of a chimney from the foot of a tower is `60^(@)` and the angle of depression of the foot of the chimney from the top of the tower is `30^(@)`. If the height of the tower is 40m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke-emitting chimney should be 100m. State if the height of the above mentioned chimney meets the pollution control norms. What value is discussed in this question?

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The correct Answer is:
120 m
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The angle of elevation of the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 50 m high, find the height of the building.

The angle of elevation of the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 50 m high, find the height of the building.

Knowledge Check

  • The angle of elevation of the top of a hill from the foot of a tower is 60^(@) and the angle of elevation of the top of the tower from the foot of the hill is 30^(@) . If the height of the tower is 50 m, what is the height of the hill?

    A
    180 m
    B
    150 m
    C
    100 m
    D
    120 m

  • If the angle of elevation of the top of a tower from a distance of 100m from its foot is 60^(@) , the height of the tower is

    A
    `100sqrt(3) m`
    B
    `(100)/sqrt(3)` m
    C
    `50sqrt(3) m`
    D
    `(200)/sqrt(3)` m

  • The angles of depression of two points from the top of a tower are 30^(@) and 60^(@) . If the height of the tower is 30 m, find the maximum possible distance between the two

    A
    `40sqrt(3)` m
    B
    `30sqrt(3)` m
    C
    `20sqrt(3)` m
    D
    `10sqrt(3)` m

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