Home
Class 11
MATHS
From the top of a hill h metre high, the...

From the top of a hill h metre high, the angles of depressions of the top and the bottom of a pillar are `alpha and beta`, respectively. The height (in metres) of the pillar is

A

`(h(tanbeta-tan alpha))/(tanbeta)`

B

`(h(tanalpha-tanbeta))/(tanalpha)`

C

`(h(tanalpha+tanbeta))/(tanalpha)`

D

`(h(tanbeta+tanalpha))/(tanalpha)`

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

If from the top of a tower of 60 metre heigh, the angles of depression of the top and floor of a house are alpha and beta " respectively and if the height of the house is " (60sin(beta-alpha))/x , then x =

If from the top of a tower of 60 metre heigh, the angles of depression of the top and floor of a house are alpha and beta respectively and if the height of the house is (60sin(beta-alpha))/(x) , then x=

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

From the top of a tower of 50m high, Neha observes the angles of depression of the top and foot of another building to be 45^(@)" and "60^(@) respectively. Find the height of the building.

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 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

AAKASH SERIES-HEIGHTS AND DISTANCES-PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. The angle of elevation of the top of a tower standing on a harzontal p...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |