Home
Class 12
MATHS
There are three points A, B and C horizo...

There are three points A, B and C horizontal plane, such that `AB=AC=100`m 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

A

`25`

B

`10`

C

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

D

`20`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos

  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 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:

The angle of elevation of the top of a tower from two distinct points s and t from foot are complementary.Prove that the height of the tower is sqrt(st) .

The angle of elevation of the top of a tower from two points distant s and t from its foot are complementary. Prove that the height of the tower is sqrt(st) .

If the angle of elevation of the top of a tower from a point distant 100 m from its base is 45^(@) , then find the height of the tower.

JEE MAINS PREVIOUS YEAR-JEE MAINS-Physics
  1. There are three points A, B and C horizontal plane, such that AB=AC=10...

    Text Solution

    |

  2. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  3. A load of mass M kg is suspended from a steel wire of length 2 m and r...

    Text Solution

    |

  4. In the value circuit, C=(sqrt(3))/(2)muF,R2=20omega, L=sqrt(3)/(10)H, ...

    Text Solution

    |

  5. An ideal gas is enclosed in a cylinder at pressure of 2 atm and temper...

    Text Solution

    |

  6. In the figure, given that V(BB) supply can vary from 0 to 5.0V,V(CC)=5...

    Text Solution

    |

  7. In the circuit shown, find C if the effective capacitance of the whole...

    Text Solution

    |

  8. An alpha-particle of mass m suffers 1-dimentinal eleastic collision wi...

    Text Solution

    |

  9. A 10 m long horizontal wire extends from North east ro South East. It ...

    Text Solution

    |

  10. To double the covering range of a TV transmittion tower, its height sh...

    Text Solution

    |

  11. A plano-convex lens (focal length f2, refractive indexmu(2), radius of...

    Text Solution

    |

  12. A vertical closed cylinder is separated into two parts by a frictionle...

    Text Solution

    |

  13. Two satellites, A and B, have masses m and 2m respectively. A is in a ...

    Text Solution

    |

  14. A long cylinderical vessel is half filled with a liquid. When the vess...

    Text Solution

    |

  15. A block kept on a rough inclined plane ,as shown in the figure, remain...

    Text Solution

    |

  16. In a Frank-Hertz experiment,an electron of energy 5.6eV passes through...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. A galavanometer, whose resistance is 50 ohm has 25 divisions in it. Wh...

    Text Solution

    |

  19. A soap bubble,blown by a mechanical pump at the mouth of a tube, incre...

    Text Solution

    |

  20. In the given circuit diagram, the currents, I1=-0.3A,I4=0.8A and I5=0....

    Text Solution

    |

  21. A resonance tube is old and has jagged end. It is still used in the la...

    Text Solution

    |