Home
Class 11
MATHS
A person stading on the bank of a river ...

A person stading on the bank of a river observerves that the angle of elevation of the top of the tree on the opposite bank of the river is `60^(@)` and when he retires 40 meters away from the tree the angle of elevation becomes `30^(@)`. The breadth of the river is

A

20m

B

60m

C

40m

D

30m

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise LECTURE SHEET Exercise-I (Straight Objective Type Questions)|27 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-I) (Straight Objective Type Questions)|39 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II ) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)|20 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

Similar Questions

Explore conceptually related problems

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60^(@) . When he retires 40m from the bank, he finds the angle to be 30^(@) . The breadth of the river is

The angle of elevation of a tower from a point on the same level as the foot of the tower is 30^@ on advancing 150 meters towarsd the foot of the tower, the angle of elevation of the tower becomes 60^@ . Find the height of the tower.

The angle of elevation of the top of a tree from a point at a distance of 200 m from its base is 60. The height of the tree is

The angle of elevation of the top of a tower from a point of the ground which is 30 m away from the foot of a tower of heigh 10 sqrt 3 m is…………

A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a cetrain point A on the path, he observves that the angle of elevation of the top of the pillar is 30^(@) . After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60^(@) . Then the time taken (in minutes ) by him, from B to reach the pillar, is

The angle of elevation of top of a tree is 30^(@) . On moving 20m nearer, the angle of elevation is 60^(@) . The height of the tree is

The angle of elevation of the top of the tower is 45^(@) on walking up a slope inclinde at an angle of 30^(@) to the horizontal a distance 20 meters, the angle of elevation of top of tower is observed to be 60^(@) . The height of the tower is

From a point on the level ground , the angel of elevation of the top of a pole is 30^(@) . On moving 20 meters nearer, the angle of elevation is 45^(@) . Then the height of the pole, in meters, is

AAKASH SERIES-HEIGHTS AND DISTANCES-PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. At a certain point the angle of elevation of a tower is found to be co...

    Text Solution

    |

  2. The angle of elevation of the top of a tower standing on a harzontal p...

    Text Solution

    |

  3. A person stading on the bank of a river observerves that the angle of ...

    Text Solution

    |

  4. From the top of a hill h metre high, the angles of depressions of the ...

    Text Solution

    |

  5. A chimney leans towards north. At equal distance due north and south o...

    Text Solution

    |

  6. A tower subtends angles alpha,2 alpha, 3 alpha respectively at points ...

    Text Solution

    |

  7. A vertical tower stands on a declivity which is inclinde at 15^(@) to ...

    Text Solution

    |

  8. In a prison wall there is a window of 1 metre height, 14 metres from t...

    Text Solution

    |

  9. A flag-staff stands on a tower which is on level ground. The total hei...

    Text Solution

    |

  10. A tower stands at the top a hill whose height is three times the heigh...

    Text Solution

    |

  11. A vertical pole more than 100 ft high consists of two portions the low...

    Text Solution

    |

  12. A straight pole A subtends a right angle at a point B of another pole ...

    Text Solution

    |

  13. A tower, of x metres high, has a flagstaff at its top. The tower and t...

    Text Solution

    |

  14. From the top of a chiff 30 metres high, the angle of elevation of the ...

    Text Solution

    |

  15. From a point E on the horizontal due to east of a tree, the top of the...

    Text Solution

    |

  16. Two pillars of equal height stand at a distance of 100 metres. At a po...

    Text Solution

    |

  17. The angle of elevation of a stationar cloud from a point 2500 m above ...

    Text Solution

    |

  18. The angle of elevation of the top point P of a vertical tower PQ of he...

    Text Solution

    |

  19. The angle of elevation of the top of a tower from the top and botton o...

    Text Solution

    |

  20. The tops of two poles of heights 10 metres and 12 metres are connected...

    Text Solution

    |