Home
Class 11
MATHS
The elevation of a tower due north of a ...

The elevation of a tower due north of a station A is `alpha` and at another station B due west of it is `beta`. If AB =a, the height of the tower is

A

`a/(sqrt(sin^(2)alpha+sin^(2)beta))`

B

`a/(sqrt(cos^(2)alpha+cos^(2)beta))`

C

`a/(sqrt(tan^(2)alpha+tan^(2)beta))`

D

`a/(sqrt(cot^(2)alpha+cot^(2)beta))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)|30 Videos

  • 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-II) (Straight Objective Type Questions)|13 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 a top of a tower from a point A due south of it tan^(-1) (6) and that from B due to west of it is tan^(-1) (7.5). If h is the height of the tower AB=lambda h " then " lambda^(2) =

The angle of elevation of the top of a tower from a point situated at a distance of 100 m from the base of tower is 30 degrees. find the height of the tower is

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

The sum of angles of elevation of the top of a tower from two points distance a and b from the base and in the same straight line with it is 90^@ . Then the height of the tower is :

From the top of the building, the angle of elevation of the top of a. T.V tower is alpha^@ and the angle of depression to its (T.V tower) foot is beta^@ . If distance of the building from the tower is ‘d’ meters, draw the suitable diagram to the given data.

The angle of elevation of the top of the top of a vertical tower from a point A, due east of it is 45^(@) . The angle of elevation of the top of the same tower from a point B, due south of A is 30^(@) . If the distance between A and B is 54sqrt2m , then the height of the tower (in meters), is

From the top of a cliff x mts heigh, the angle of depression of the foot of a tower is found to be double the angle of elevation of the tower. If the height of the tower is h, the angle of elevation 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

The angle of elevation of the top of a tower from the foot of a building is 30^(@) and the angle of elevation of the top of the building from the foot of the tower is 60^(@) . What is the ratio of heights of tower and building.

AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET (EXERCISE - II ) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. A tower 51 m height has a mark at height of 25 m from the ground. At w...

    Text Solution

    |

  2. A flag staff of the height (a-b) stands on the top of a tower subtends...

    Text Solution

    |

  3. If each side of length 'a' of an equilateral triangle subteds an angle...

    Text Solution

    |

  4. A sphere of radius 'a' subtends an angle 60^(@) at a point P. Then the...

    Text Solution

    |

  5. The elevation of a tower due north of a station A is alpha and at anot...

    Text Solution

    |

  6. An aeroplane is moving one kilometer high from west to east horizontal...

    Text Solution

    |

  7. A spherical balloon of radius 5 subtends an angle 60^(@) at a point on...

    Text Solution

    |

  8. A person in aballoon, who has ascended verticallly from flat land at t...

    Text Solution

    |

  9. A sperical balloon of radius r subtends an angle alpha at the eye of a...

    Text Solution

    |

  10. Two pillars are 120 ft a part and the height of one in double that of ...

    Text Solution

    |

  11. Two vertical poles 20m and 80m heigh stand apart on a horizontal plane...

    Text Solution

    |

  12. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  13. A flag staff of height 10 metres is placed on the top of a tower of he...

    Text Solution

    |

  14. A tower leans towards west making an angle alpha with the vertical. Th...

    Text Solution

    |

  15. A Tower stands at the centre of a circular park. A and B are two point...

    Text Solution

    |

  16. A lamp post is sittuated at the middle point M of the side AC of a tri...

    Text Solution

    |

  17. The angle of elevation of a top of a tower from a point A due south of...

    Text Solution

    |

  18. A longer side of a parallelogram is 10 cm and the shorter is 6cm. If t...

    Text Solution

    |

  19. A ladder rests against wall at an angle alpha to the harizontal. Its f...

    Text Solution

    |

  20. If the angles of elevation of the top of a tower from three collinear ...

    Text Solution

    |