Home
Class 11
MATHS
The sum of angles of elevation of the to...

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 :

A

`a^(2)b`

B

`ab^(2)`

C

`sqrt(ab)`

D

`ab`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise LECTURE SHEET Exercise-I (Straight Objective Type Questions)|27 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 angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Find the height of the tower

The angle of the elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it, are complementary. Prove that the height of the tower is 6m.

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 angles of elevation of the top of a tower from two points at a distance of 4m and 9m, find the height of the tower from the base of the tower and in the same straight line with it are complementary.

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

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

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 angles of elevation of a tower from two points which are at distance h_(1) and h_(2) from the foot of the tower on the same side are complementrary. The height of the toweer is

AAKASH SERIES-HEIGHTS AND DISTANCES-PRACTICE SHEET Exercise-I (Level-I) (Straight Objective Type Questions)
  1. The angle of elevation of an object from a point P on the level ground...

    Text Solution

    |

  2. The elevation of an object on a hill is observed from a certain point...

    Text Solution

    |

  3. The sum of angles of elevation of the top of a tower from two points d...

    Text Solution

    |

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

    Text Solution

    |

  5. The angle of elevation of the top of an unfinished tower from a point ...

    Text Solution

    |

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

    Text Solution

    |

  7. The angles of elevation of a tower from two points which are at distan...

    Text Solution

    |

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

    Text Solution

    |

  9. A flag staff of length 'd' stands on tower of height h. IF at a point ...

    Text Solution

    |

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

    Text Solution

    |

  11. At a certain point the angle of elevation of a tower is found to be co...

    Text Solution

    |

  12. The length of the shadow of vertical pole of height h, thrown by the s...

    Text Solution

    |

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

    Text Solution

    |

  14. From the top of a tree, a man observes the angle of deppression of a p...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. From the top of the hill h meers high the angles of depressinons of th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The angle of elevation of the top of the tower is 45^(@) on walking up...

    Text Solution

    |