Home
Class 10
MATHS
The angle of elevationof the top of a bu...

The angle of elevationof the top of a building from the foot of the tower is `30^(@)` and the angle of elevation of the top of the tower from the foot of the building is `60^(@)` . If the tower is 50m high, find the height of the building.

Text Solution

Verified by Experts

The correct Answer is:
h= 16.66 m
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (MCQ)|10 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS )|3 Videos
  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VALUE BASED QUESTIONS )|2 Videos
  • REAL NUMBERS

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS(LONG ANSWER TYPE QUESTIONS )|5 Videos
  • STATISTICS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 50 m high, find the height of the building.

The angle of elevation of the top of a hill from the foot of a tower is 60^(@) and the angle of elevation of the top of the tower from the foot of the hill is 30^(@) . If the height of the tower is 50 m, what is the height of the hill?

The angle of elevation of the top of a chimney from the foot of a tower is 60^(@) and the angle of depression of the foot of the chimney from the top of the tower is 30^(@) . If the height of the tower is 40m, find the height of the chimney. According to pollution control norms, the minimum height of a smoke-emitting chimney should be 100m. State if the height of the above mentioned chimney meets the pollution control norms. What value is discussed in this question?

A window in a building is at a height of 10 m from the ground. The angle of depression of a point P on the ground from the window is 30^(@) . The angle of elevation of the top of the building from the point P is 60^(@) . Find the height of the building.

The angle of elevation of the top of a tower from a point on the groud, which is 30 m away from the foot of the tower is 30^(@) . Find the height of the tower.

If the angle of elevation of the top of a tower from a distance of 100m from its foot is 60^(@) , the height of the tower is

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30^(@) . Find the height of the tower.

ZEN PUBLICATION-SOME APPLICATIONS OF TRIGONOMETRY-TEXTUAL (EXERCISES 12.1)
  1. A circus artist is climbing a 20m long rope, which is tightly stretche...

    Text Solution

    |

  2. A tree breaks due to storm and the broken part bends so that the top o...

    Text Solution

    |

  3. A contractor plans to install two slides for the children to the play ...

    Text Solution

    |

  4. The angle of elevation of the top of a tower from a point on the groun...

    Text Solution

    |

  5. A kite is flying at a height of 60m above the ground. The string attac...

    Text Solution

    |

  6. A 1.5m tall boy is standing at some distance from a 30m tall building....

    Text Solution

    |

  7. From a point on the ground, the angles of elevation of the bottom and ...

    Text Solution

    |

  8. A statue, 1.6m tall, stands on the top of a pedestal. From a point on ...

    Text Solution

    |

  9. The angle of elevationof the top of a building from the foot of the to...

    Text Solution

    |

  10. Two poles of equal heights are standing opposite each other on either ...

    Text Solution

    |

  11. A TV tower stands vertically on a bank of a canal. From a point on th...

    Text Solution

    |

  12. From the top of a 7m high building, the angle of elevation of the top ...

    Text Solution

    |

  13. As observed from the top of a 75m high lighthouse from the sea-level, ...

    Text Solution

    |

  14. A 1.2 m tall girl spots a ballon moving with the wind in a horizontal ...

    Text Solution

    |

  15. A straight highway leads to the foot of a tower. A man standing at the...

    Text Solution

    |

  16. The angle of elevation of the top of a tower from two points at a dist...

    Text Solution

    |