Home
Class 12
MATHS
The angle of elevation of the top of a t...

The angle of elevation of the top of a tower from the top and bottom of a building of height 'a' are `30^@` and `45^@` respectively. If the tower and the building stand at the same level , the height of the tower is

A

`a(3+sqrt(3))/2`

B

`a(sqrt(3)+1)`

C

`asqrt(3)`

D

`a/(sqrt(3)-1)`

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-II|20 Videos
  • HEIGHTS & DISTANCE

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE)|11 Videos
  • FUNCTION

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10m are 30^(@) and 60^(@) respectively.The height of the tower is

The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30^(@) and 60^(@) respectively. What is the height (in meters) of building ?

The angle of elevation of the top of a tower from the point P and Q at distance of a and b respectively from the base of the tower and in the same straight line with it are complementary .The height of the tower is

The angle of elevation of the top of a tower from the bottom of a building is twice that from its top. What is the height of the building, if the height of the tower is 75 m and the angle of elevation of the top of the tower from the bottom of the building is 60^@ ?

The angle of elevation of the top of a tower from the bottom of a building is twice that from its top. What is the height of the building if the height of the tower is 75 m and the angle of elevation of the top of the tower from the bottom of the building is 60^(@) ?

From the top of a building, the angle of elevation and depression of top and bottom of a tower are 60^(@) and 30^(@) respectively. If the height of the building is 5m, then find the height of the tower.

FIITJEE-HEIGHTS & DISTANCE -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. From a light-house L two ships P and Q are observed in direction south...

    Text Solution

    |

  2. A harbour lies in a direction 60^@ south - west from a fort and at a d...

    Text Solution

    |

  3. From the top of a lighthouse 60 meters high with its base at the sea l...

    Text Solution

    |

  4. An isosceles triangle of wood is placed in a vertical plane, vertex up...

    Text Solution

    |

  5. A flagstaff of length l is fixed on the top of a tower of height h. Th...

    Text Solution

    |

  6. A pole of height h stands at one corner of a park of the shape of an e...

    Text Solution

    |

  7. A pole 25 meters long stands on the top of a tower 225 meters high. It...

    Text Solution

    |

  8. Each side of a square substends an angle of 60^@ at the top of a towe...

    Text Solution

    |

  9. A person standing on the ground observes the angle of elevation of th...

    Text Solution

    |

  10. The angle of elevation of the top of a tower from the top and bottom o...

    Text Solution

    |

  11. If a flag staff subtends the same angles at the points A,B,C and D on ...

    Text Solution

    |

  12. A pole of 50 meter high stands on a building 250 m high. To an observe...

    Text Solution

    |

  13. The electric pole subtends an angle of 30^(@) at a point on the same l...

    Text Solution

    |

  14. A person walking along a straight road observes that a two points 1 km...

    Text Solution

    |

  15. A man standing on a level plane observes theanlge of elevation of top ...

    Text Solution

    |

  16. Two pillars of height a and b subtend the same angle alpha at a point ...

    Text Solution

    |

  17. From the top of aspier the angle of depression of the top and bottom o...

    Text Solution

    |

  18. ABC is a triangular park in the form of an equilateral triangle. A pil...

    Text Solution

    |

  19. A chimeny of 20 m height standing on the top of a building subtends an...

    Text Solution

    |

  20. A flag leaning to wards the east is inclined at an angle theta to the ...

    Text Solution

    |