Home
Class 12
MATHS
A tower subtends an angle alpha at a ...

A tower subtends an angle `alpha` at a point `A` in the plane of its base and the angle of depression of the foot of the tower at a point `b` metres just above `A` is `beta` . Prove that the height of the tower is `btanalphacotbeta` .

A

`b tan alpha cot beta`

B

`b cot alpha tan beta`

C

`b cot alpha cot beta`

D

`b tan alpha tan beta`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I|20 Videos

  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

A tower subtends an angle alpha at a point A in the plane of its base and the angle of depression of the foot of the tower at a point b metres just above A is beta .Prove that the height of the tower is b tan alpha cot beta .

A tower subtends an angle alpha at a point in the plane of its base and the angle of depression of the foot of the tower at a point b ft. just above A is beta . Then , height of the tower is

A tower subtends an angle alpha at a point A in the plane of its base and the angle of depression of the foot of the tower at a point b ft just above A is beta . Then the height of the tower is

A tower subtends and angle 60^(@) at a point A in the plane of its base and the angle of depression of the foot of the tower at a point 10 meters just above A is 30^(@). The height of the tower is

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) .

FIITJEE-HEIGHTS & DISTANCE -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-II
  1. The height of a house subtends a right angle at the opposite street li...

    Text Solution

    |

  2. The angle of elevation of the top of a tower at a point A due south of...

    Text Solution

    |

  3. The angle of elevation of a tower PQ at a point A due north of it is 3...

    Text Solution

    |

  4. An electric pole stands at the vertex A of the equilateral triangular ...

    Text Solution

    |

  5. A pole on the ground lenses 60^(@) to the vertical. At a point a meter...

    Text Solution

    |

  6. A 10 meters high tower is standing at the centre of an equilateral tri...

    Text Solution

    |

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

    Text Solution

    |

  8. A tower subtends angle theta, 2theta, 3theta at the three points A,B a...

    Text Solution

    |

  9. A spherical balloon of radius 50 cm, subtends an angle of 60^(@) at a ...

    Text Solution

    |

  10. PQ is a post of height a, AB is a tower of height h at a distance x fr...

    Text Solution

    |

  11. The angle of elevation of the top of a hill from a point is alpha. Aft...

    Text Solution

    |

  12. The base of a cliff is circular. From the extremities of a diameter of...

    Text Solution

    |

  13. A round balloon of radius r subtends an angle alpha at the eye of the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. ABCD is a rectangular field. A vertical lamp post of height 12 m stand...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The angle of elevation of the cloud at a point 2500 m high from the la...

    Text Solution

    |