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From the top of a tower 100 m high, a ma...

From the top of a tower 100 m high, a man observes two cars on the opposite sides of the tower with angle of depression `30^(@)` and `45^(@)` respectively. Find the distance between the cars

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The correct Answer is:
273.2 m
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Knowledge Check

  • 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
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    A
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    B
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    C
    217
    D
    473

  • 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
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    C
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    D
    None of these

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    Two windmills of height 50 m and 40 m are on either side of the field. A person observes the top of the windmills from a point in between the towers the angle of elevation was found to be 45^(@) in both the cases. Find the distance between the windmills.

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