Home
Class 12
MATHS
A tower of height b subtends an angle at...

A tower of height b subtends an angle at a point 0 on the ground level through the foot of the tower and at a distance a from the foot of the tower. A pole mounted on the top of the tower also subtends an equal angle at 0. The height of the pole is

A

`b((a^2-b^2)/(a^2+b^2))`

B

`b((a^2+b^2)/(a^2-b^2))`

C

`a((a^2-b^2)/(a^2+b^2))`

D

`a((a^2+b^2)/(a^2-b^2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|45 Videos
  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos
  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

Similar Questions

Explore conceptually related problems

A tower subtends an angle 75^(@) at a point on the same level as the foot of the tower and at another point, 10 meters above the first, the angle of depression of the foot of the tower is 15^(@) . The height of the tower is (in meters)

A tower subtends an angle α at a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower is β. The height of the tower is

A vertical tower subtends an angle of 60^(@) at a point on the same level as the foot of the tower. On moving 100 m further from the first point in line with the tower, it subtends an angle of 30^(@) at the point. If the height of the tower is Hm, then the value of (H)/(25sqrt3) (in meters) is

When a plane mirror is placed horizontally on level ground at a distance of 60 m from the foot of a tower, the top of the tower and its image in the mirror subtend and angle of 90^@ at the eye. The height of the tower is

A tower subtends an angle of 30^@ at a point on the same level as the foot of the tower. At a second point h meter above the first, the depression of the foot of the tower is 60^@ . The horizontal distance of the tower from the point is

A tower subtends an angle of 30^o at a point on the same level as its foot. At a second point h metres above the first, the depression of the foot of the tower is 60^o . The height of the tower is

A tower stands vertically on the ground. From a point on the ground, 20m away from the foot of the tower, the angle of elevation of the top of the tower is 60^@ . What is the height of the tower?

A tower stands vertically on the ground. From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60^@ . Find the height of the tower.

A tower stands vertically on the ground. From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60^@ . Find the height of the tower.

A tower stands vertically on the ground. From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60^@ . Find the height of the tower.

OBJECTIVE RD SHARMA ENGLISH-HEIGHTS AND DISTANCES-Exercise
  1. A tower of x metres height has flag staff at its top. The tower and th...

    Text Solution

    |

  2. .A house of height 100 m substends a right angle at the window of an o...

    Text Solution

    |

  3. A tower of height b subtends an angle at a point 0 on the ground level...

    Text Solution

    |

  4. A man of height 6 ft. observes the top of a tower and the foot of th...

    Text Solution

    |

  5. If the elevation of the sun is 30^@ , then the length of the shadow c...

    Text Solution

    |

  6. A ladder rests against a vertical wall at angle alpha to the horizonta...

    Text Solution

    |

  7. From the top of a cliff 300 metres high, the top of a tower was obser...

    Text Solution

    |

  8. The angles of elevation of the top of a tower at the top and the foot ...

    Text Solution

    |

  9. A person standing on the bank of a river finds that the angle of elev...

    Text Solution

    |

  10. A tower subtends an angle of 30^@ at a point on the same level as the ...

    Text Solution

    |

  11. AB is a vertical pole. The end A is on the level ground .C is the midd...

    Text Solution

    |

  12. The angle of depression of a point situated at a distance of 70 metres...

    Text Solution

    |

  13. The angle of elevation of the top of a vertical tower from two points ...

    Text Solution

    |

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

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. At a distance 12 metres from the foot A of a tower AB of height 5 met...

    Text Solution

    |

  17. A tower 50 m high , stands on top of a mount, from a point on the grou...

    Text Solution

    |

  18. A person on a ship sailing north sees two lighthouses which are 6 km a...

    Text Solution

    |

  19. An observer finds that the elevation of the top of a tower is 22.5^@ a...

    Text Solution

    |

  20. A vertical lamp-post, 6m high, stands at a distance of 2 m from a wall...

    Text Solution

    |