Home
Class 12
MATHS
ABC is a triangular park with AB = AC = ...

ABC is a triangular park with AB = AC = 100 m. A vertical tower is situated at the mid-point of BC. If the angles of elevation of the top of the tower at A and B are `cot^(-1)(3sqrt(2))` and `cot^(-1)(2sqrt(2))` respectively, then the height of the tower (in m) is

A

`(100)/(3 sqrt(3))`

B

25

C

20

D

`10 sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|5 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos

Similar Questions

Explore conceptually related problems

ABC is a triangular park with AB = AC = 100 m. A vertical tower is situated at the mid-point of BC. If the angles of elevation of the top of the tower at A and B are cot^(-1)(3sqrt(2)) and cosec^(-1)(2sqrt(2)) respectively, then the height of the tower (in m) is

ABC is a triangular park with AB=AC=100 metres.A vertical tower is stiuated at the mid- point of BC.If the angles of elevation of the top of the tower at A and B are cot ^(-1)(3sqrt(2)) and cos ec^(-1)(2sqrt(2)) respectively,then the height of the tower (in meters) is:

ABC is a triangular park with AB = AC = 100 m. A block tower is situated at the midpoint of BC.The angles of elevation of the top of the tower at A and B are cot^-1(3.2) and cosec^-1(2.6) respectively.The height of the tower is:

ABC is a triangular park with AB = AC = 100 m. A block tower is situated at the midpoint of BC.The angles of elevation of the top of the tower at A and B are cot^-1(3.2) and cosec^-1(2.6) respectively.The height of the tower is:

There are three points A, B and C horizontal plane, such that AB=AC=100m a varticaly tower is placed on the midpoint of BC, such that angle of elevation of the top of the tower from A is cot^(-1)(3sqrt(2)) and that from B is cosec^(-1)(2sqrt(2)) then the height of the tower is

PQR is a triangular park with PQ=PR=200m . A T.V tower stands at the mid-point of QR.If the angles of elevation of the top of the tower at P,Q and R respectively 45^(@),30^(@) and 30^(@) then the height of the tower in m is

PQR is a triangular park with PQ=PR=200m . A.T.V. tower stands at the mid-point of QR . If the angles of elevation of the top of the tower at P , Q and R are respectively 45^(ulo) , 30^(ulo) and 30^(ulo) then the height of the tower (in m ) is

MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. The upper (3/4)^(th) portion of a vertical pole subtends an angle "tan...

    Text Solution

    |

  2. A person standing on the bank of a river observes that the angle of el...

    Text Solution

    |

  3. A tower stands at the centre of a circular park. A and B are two po...

    Text Solution

    |

  4. AB is a vertical pole with B at the ground level and A at the top. ...

    Text Solution

    |

  5. A bird is sitting on the top of a vertical pole 20 m high and its e...

    Text Solution

    |

  6. The angle of elevation of the top of a vertical tower from a point P o...

    Text Solution

    |

  7. If the angles of elevation of the top of tower from three collinear po...

    Text Solution

    |

  8. Let 10 vertical poles standing at equal distances on a straight l...

    Text Solution

    |

  9. A man is walking towards a vertical pillar in a straight path, at a ...

    Text Solution

    |

  10. The angle of elevation of the top of a vertical tower from a point A d...

    Text Solution

    |

  11. Let a vertical tower AB have its end A on the level ground. Let C be t...

    Text Solution

    |

  12. PQR is a triangular park with PQ=PR=200m . A T.V tower stands at the m...

    Text Solution

    |

  13. An aeroplane flying at a constant speed, parallel to the horizontal gr...

    Text Solution

    |

  14. A tower T(1) of height 60 m is located exactly opposite to a tower T(2...

    Text Solution

    |

  15. A man on the top of a vertical tower observes a car moving at a unifor...

    Text Solution

    |

  16. Two vertical poles of heights, 20 m and 80 m stand apart on a horizont...

    Text Solution

    |

  17. The angle fo elevation of the loop of a vertical tower standing on a h...

    Text Solution

    |

  18. If the angle of elevation of a cloud from a point P which is 25 m abov...

    Text Solution

    |

  19. Two poles standing on a horizontal ground are of heights 5 m and 10 m,...

    Text Solution

    |

  20. ABC is a triangular park with AB = AC = 100 m. A vertical tower is sit...

    Text Solution

    |