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A man on the top of a vertical tower observes a car moving at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to change from `30^0to45^0,` how soon after this will the car reach the tower? Give your answer to the nearest second.

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A man on the top of a vertical tower observes a car having at a uniform speed coming directly towards it. If it takes 12 minutes for the angle of depression to charge from 30^(@)and45^(@) , how soon after this, will the car reach the tower? Give your answer to the nearest second.

A man on the top of a vertical tower observes a car moving at uniform speed coming directly towards it. If it takes 12 min for the angle of depression to change from 30^(@) to 45^(@) , how soon after this, will the can reach the tower?

Knowledge Check

  • A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes 18 minutes from the angle of depression of the car to change from 30^(@) "to" 45^(@) , then after this, the time taken (in minutes) by the car to reach the foot of the tower, is

    A
    `9 (1 + sqrt(3))`
    B
    `18 (sqrt(3) - 1)`
    C
    `(9)/(2) (sqrt(3) - 1)`
    D
    `18 (1 + sqrt(3)`

  • A man on the top of a tower, standing on the sea-shore, finds that a boat coming towards him takes 10 min for the angle of depression to change from 30^(@) to 60^(@) . How soon will the boat reach the sea-shore?

    A
    5 min
    B
    10 min
    C
    `sqrt3` min
    D
    None of these

  • A man from the top of a 100 metres high tower observes a car moving towards the tower at an angle of depression of 30^(@) . After some time, the angle of depression becomes 60^(@) . The distance (in metres) travelled by the car during this time is

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

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