Home
Class 10
MATHS
A man on the top of a vertical tower obs...

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.

Text Solution

Verified by Experts

The correct Answer is:
`16.39` minutes
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    ICSE|Exercise Exercise 22 A |14 Videos

  • HEIGHTS AND DISTANCES

    ICSE|Exercise Exercise 22 B |19 Videos

  • GST [GOODS AND SERVICES TAX]

    ICSE|Exercise Exercise 1(B)|16 Videos

  • LINEAR INEQUATIONS

    ICSE|Exercise Competency Based Questions|15 Videos

Similar Questions

Explore conceptually related problems

A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed. If the angle of depression of the car change from 30^(@)" and "45^(@) in 12 minutes, find the time taken by the car now toreach the tower.

A man from the top of a 100 metres high tower sees 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 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 depression of the car is found to be 60^@ . Find the time taken by the car to reach the foot of the tower from this point.

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 depression of the car is found to be 60^@ . Find the time taken by the car to reach the foot of the tower from this point.

From the top of a light house, it is observed that a ship is sailing directly towards it and the angle of depression of the ship changes from 30^(@) " to " 45^(@) in 10 minutes. Assuming that the ship is sailing with uniform speed, calculate in how much more time (in minutes) will the ship reach the light house?

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^@ , 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^@ . Find the further time taken by the car to reach the foot of the tower.

The angle of elevation of the top of a tower from a point A on the ground is 30^0dot On moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to 60^0dot Find the height of the ttower and the distance of the tower from the point A.

The angle of elevation of the top of a tower from a point A on the ground is 30^0dot On moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to 60^0dot Find the height of the ttower and the distance of the tower from the point A.

A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower of height 30 feet. The top of the tower is observed from the car and, in the process, the angle of elevation changes from 45^(@) at B to 60^(@) at A. What is the distance, in feet, to the nearest integer, between the points A and B?

An observer on the top of a tree ,finds the angle of depression of a car moving towards the tree to be 30^@ .After 3 minutes this angle becomes 60 ^@ .After how much more time , the car will reach the tree ?

ICSE-HEIGHTS AND DISTANCES -Exercise 22 C
  1. A man on the top of a vertical tower observes a car moving at a unifor...

    Text Solution

    |

  2. Find AD

    Text Solution

    |

  3. Find AD

    Text Solution

    |

  4. In the following diagram, AB is a floor-board, PQRS is a cubical box w...

    Text Solution

    |

  5. Calculate BC

    Text Solution

    |

  6. Calculate AB

    Text Solution

    |

  7. The radius of a circle is given as 15 cm and chord AB subtends an angl...

    Text Solution

    |

  8. The radius of a circle is given as 15 cm and chord AB subtends an angl...

    Text Solution

    |

  9. At a point on level ground, the angle of elevation of a vertical to...

    Text Solution

    |

  10. A vertical tower stands on a horizontal plane and is surmounted by a v...

    Text Solution

    |

  11. With reference to the given figure, a man stands on the ground at poin...

    Text Solution

    |

  12. With reference to the given figure, a man stands on the ground at poin...

    Text Solution

    |

  13. The angles of elevation of the top of a tower from two points at a dis...

    Text Solution

    |

  14. From a window A , 10 m above the ground the angle of elevation of the...

    Text Solution

    |

  15. A vertical tower is 20 m high. A man standing at some distance from th...

    Text Solution

    |

  16. A man standing on the bank of a river observes that the angle of elev...

    Text Solution

    |

  17. A man standing on the bank of a river observes that the angle of elev...

    Text Solution

    |

  18. A 20 m high vertical pole and a vertical tower are on the same level g...

    Text Solution

    |

  19. A 20 m high vertical pole and a vertical tower are on the same level g...

    Text Solution

    |

  20. A vertical pole and a vertical tower are on the same level ground in ...

    Text Solution

    |

  21. A vertical pole and a vertical tower are on the same level ground in ...

    Text Solution

    |