Home
Class 11
MATHS
A tower stands at the top a hill whose h...

A tower stands at the top a hill whose height is three times the height of the tower. The tower is found to subtend an angle of `Tan^(-1)(1/7)` at a point 2 km away on the horizontal throught the foot of the hill. Then the height of the tower is

A

`1/2km or 1/3km`

B

`1/3km or 2/3km`

C

`2/3km or 1/2km`

D

`3/4km or 1/2km`

Text Solution

Verified by Experts

The correct Answer is:
B
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

A flag staff on the top of the tower 80 mt of height subtends an angle Tan^-1 (1//9) at a point on the ground 100 mt from the foot of the tower. The height of the flag staff is

A flag staff on top of the tower 30mt of height subtends an angle of - tan^(-1)((1)/(3)) at a point on the ground 50mt from the foot of the tower. The height of the flag staff 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

A flag-staff stands on a tower which is on level ground. The total height of the flag-staff and tower taaken together is 300 metres. The flag-staff subtends an angle of Tan^(-1)(1/5) at a point P on the level ground at a distance 300 metres from the foot of the tower. The heightof 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

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, of x metres high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant y metres from the foot of the tower. Then the length of the flagstaff in metres in

A tower, of x metres high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant y metres from the foot of the tower. Then the length of the flagstaff in metres is

A tower of x metres high, has a flagstaff at its top. The tower and the flagstaff subtend equal angles at a point distant y metres from the foot of the tower. Then the length of the flagstaff in metres is

A tower makes an angle of elevation equal to the angle of depression from the top of a cliff 25m height. Find the heigh 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

    |