Home
Class 11
MATHS
A vertical tower stands on a declivity w...

A vertical tower stands on a declivity which is inclinde at `15^(@)` to the horizon. From the foot of the tower a man ascends the declivity from 80 feet and then finds that the tower subteds an angle of `30^(@)`. The height of the tower is

A

`40(sqrt6+sqrt2)`

B

`20(sqrt6-sqrt2)`

C

`40(sqrt6-sqrt2)`

D

`10(sqrt6-sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

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 30 mts from the foot of a tower, the angle of elevation of the top is 30^@ . The height of the tower is………..

A tower subtends an angle alpha at a point A on the same level as the foot of the tower B is a point vertically above A and AB = h metres. The angle of depression of the foot of the tower from B is beta . The height of the tower is

If the angle of elevation of a tower from a distance of 100 m from its foot is 60^(@) . Then the height of the tower is ……….m.

The angles of elevation of the tops of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60^@,30^@ respectively. The ratio of the heights of the towers is

The angle of elevation of the top of a tower from a point on the same level as the foot of the tower is 15^@ . On moving 100 metres towards the tower, the angle of elevation increases to 30^@ . The height of the tower is

A flag staff of the height (a-b) stands on the top of a tower subtends the same angle at the point on the horizontal plalne through the foot of the tower which are at distant a and b from the tower. The height of the tower is

The angle of elevation of a tower from two point which are distance h_1 and h_2 from the foot of the tower on the same side are complementary . The height of the tower is

AAKASH SERIES-HEIGHTS AND DISTANCES-PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. A chimney leans towards north. At equal distance due north and south o...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. A person observes the top of a tower from a point A on the ground. the...

    Text Solution

    |

  18. P is a point on the segment joining the feet of two vertical poles of ...

    Text Solution

    |

  19. If a flag staff of 6 mt high placed on the top of a tower throws a sha...

    Text Solution

    |

  20. The elevation of top of a hill is observed from a certain point in the...

    Text Solution

    |