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A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of `30^@` , which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depres

A

2 sec

B

3 sec

C

6 sec

D

4 sec

Text Solution

Verified by Experts

The correct Answer is:
B
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A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at angle of depression of 30o , which is approaching to the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60o . Find the further time taken by the car to reach the foot of the tower.

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at angle of depression of 30^0, which is approaching to the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60^0dot Find the further time taken by the can to reach the foot of the tower.

Knowledge Check

  • A straight highway leads to the foot of a tower of height 50 m . From the top of the tower, angles of depressions of two cars standing on the highway are 30^(@) and 60^(@) , What is the distance between the cars ?

    A
    100 m
    B
    125 m
    C
    `50 sqrt(3) m `
    D
    150 m
  • From the top of a cliff 300 metres high, the top of a tower was observed at an angle of depression 30^@ and from the foot of the tower the top of the cliff was observed at an angle of elevation 45^@ , The height of the tower is

    A
    `50(3-sqrt3)m`
    B
    `200(3-sqrt3)` m
    C
    `100(3-sqrt3)m`
    D
    none of these
  • A straight highway leads to the foot of a 50 m tall tower. From the top of the tower, the angles of depression of two cars on the highway are 30^(@) and 60^(@) , respectively. What is the distance between the two cars?

    A
    `(100)/(sqrt3)m`
    B
    `100sqrt3m`
    C
    86.50 m
    D
    None of these
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