Home
Class 12
MATHS
A tower of x metres height has flag staf...

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

Text Solution

Verified by Experts

The correct Answer is:
`(b(a^(2)+b^(2)))/(a^(2)-b^(2))`
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (2) MCQ.s|1 Videos
  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (2) TRUE AND FALSE|4 Videos
  • HEIGHTS AND DISTANCES

    ML KHANNA|Exercise Problem Set (1) TRUE AND FALSE|11 Videos
  • FUNCTIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos
  • INEQUALITIES

    ML KHANNA|Exercise PROBLEM SET (1)(FILL IN THE BLANKS)|4 Videos

Similar Questions

Explore conceptually related problems

A tower of height b meter has a flagstaff on its top.The tower and the flagstaff subtend equal angles at a poll distant a meter from the foot of the tower.The length of the flagstaff is b(a^(2)+b^(2))/(a^(2)-b^(2))

A tower of height 5 m and a flagstaff on top of the tower subtend equal angles at a point on the ground, distant 13 m from the base of the tower. The height of the flag staff is

A tower of height 50 metres stands on a level ground.A flag-staff standing on the tower subtends an angle of tan^(-1)((1)/(3)) a point 100 metres away from the tower on the ground. The length of the flag-staff in metres is

The angle of elevation of the top of a flag-staffe when observed from a point,distance 60 metres from its foot is 30^(@) the height of the flag-staff in metres is

A flag staff of 5m high stands on a building of 25m high. At an observer at a height of 30 m. The flag staff and the building subtend equal angles . The distance of the observer from the top of the flag staff is

A flag - staff of 10 meters high stands on a building of 50 meters height.For an observer at a height of 60 meters,the flag - staff and the building subtend equal angles. The distance of the observer from the top of the flag - staff is

From the top of a cliff 15mt height, 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

ML KHANNA-HEIGHTS AND DISTANCES-Problem Set (1) FILL IN THE BLANKS
  1. The width of a road is b feet. On one side of which there is a window ...

    Text Solution

    |

  2. The angle of elevation of the top of a pillar at any point A on the gr...

    Text Solution

    |

  3. The angle of elevation of a tower from a point on the same level as th...

    Text Solution

    |

  4. The angle of elevation of the top of a tower at a point A on the groun...

    Text Solution

    |

  5. The height f a chimney when it is found that on walking towards it 100...

    Text Solution

    |

  6. The shadow of a tower standing on a level ground is found to be 60 met...

    Text Solution

    |

  7. A man in a boat rowed away from a cliff 150 m high takes 2 min, to cha...

    Text Solution

    |

  8. An aeroplane flying horizontally , 1km above the ground , is observed...

    Text Solution

    |

  9. The angle of elevation of the top and bottom of a flag staff fixed at ...

    Text Solution

    |

  10. From the top of a cliff 200 ft. high, the angles of depression of the ...

    Text Solution

    |

  11. A balloon moving in a straight line passes vertically above two points...

    Text Solution

    |

  12. A balloon moving in a straight line passes vertically above two points...

    Text Solution

    |

  13. A vertical pole (more than 100 ft. high) consists of two portions the ...

    Text Solution

    |

  14. The angles of elevation of the top of a tower standing on a horizontal...

    Text Solution

    |

  15. A tower of x metres height has flag staff at its top. The tower and th...

    Text Solution

    |

  16. A wireless pole 25 metres high is fixed on a top of a verandah of a ho...

    Text Solution

    |

  17. A round balloon of radius 'r' subtends an angle alpha at the eye of th...

    Text Solution

    |

  18. A stationary balloon is observed from three points A, B and C on the p...

    Text Solution

    |

  19. From the top of a pole of height h, the angle of elevation of the top ...

    Text Solution

    |

  20. A tower subtends an angle alpha at a point in the plane of its base a...

    Text Solution

    |