Home
Class 11
MATHS
A tower subtends an angle alpha at a poi...

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

A

`h tan alpha cot beta`

B

`h tan alpha tan beta`

C

`h cot alpha cot beta`

D

`h cot alpha tan beta`

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

From the top of a chiff 30 metres high, the angle of elevation of the top of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

From the top of a cliff 60 mt high, the angles of depression of top and bottom of a tower are 30^@,60^@ . The height of the tower 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 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

From the top of a building 60 m high the angle of elevation of the top of a tower is found to be angle of depression of the foot of the tower. The height of the tower in meter is

A Tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (a) subtends an angle of 60^(@) at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30°. The height of the tower is

The angles of elevation of a tower from two points which are at distances h_1 and h_2 from the foot of the tower on the same side are complementary. 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

What change will be observed in the angle of elevation as we approach the foot of the tower?

AAKASH SERIES-HEIGHTS AND DISTANCES-PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. A tower subtends angles alpha,2 alpha, 3 alpha respectively at points ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A tower subtends an angle alpha at a point A on the same level as the ...

    Text Solution

    |