Home
Class 10
MATHS
The angle of elevation of the top of a ...

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 tower from the foot of the building is `60^(@)`,If the tower is 50 m high, find the height of the building.

Text Solution

Verified by Experts

The correct Answer is:
`16(2/3)` m
Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-II) TYPE QUESTIONS |27 Videos
  • COORDINATE GEOMETRY

    EDUCART PUBLICATION|Exercise LONG ANSWER (LA) TYPE QUESTIONS (4 MARKS) |7 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions [4 marks]|10 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 45^(@) . If the tower is 30 m high, find the height of the building.

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

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 If the tower is 50m high,find the height of the building.

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 60m high,find the height of the building.

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

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 tower is 50 m high, then what is the height of the hill?

The angle of elevation of the top of the building from the foot of the tower is 300 and the angle of the top of the tower from the foot of the building is 60o. If the tower is 50m high,find the height of the building.

The angle of elevation of the top of a hill at the foot of a tower is 60o and the angle of elevation of the top of the tower from the foot of the hill is 30 .If the tower is 50m high, what is the height of the hill?

EDUCART PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS -LONG ANSWER TYPE QUESTIONS
  1. The angle of elevation of the top of a tower from a certain point i...

    Text Solution

    |

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

    Text Solution

    |

  3. The angle of elevation of the top of a building from the foot of the ...

    Text Solution

    |

  4. If 1+sin^(2)theta = 3sinthetacostheta, then prove that tantheta=1 or 1...

    Text Solution

    |

  5. From a point on the ground the angles of elevation of the bottom an...

    Text Solution

    |

  6. A vertical tower stands on a horizontal land and is surmounted by a ve...

    Text Solution

    |

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

    Text Solution

    |

  8. A boy standing on a horizontal plane finds a bird flying at a distance...

    Text Solution

    |

  9. If sin theta + cos theta = p and sec theta + "cosec"theta = q, then p...

    Text Solution

    |

  10. The angle of elevation of a jet plane from a point A on the grou...

    Text Solution

    |

  11. Prove that: ((1+ cot theta + tan theta)(sin theta - cos theta))/(sec^(...

    Text Solution

    |

  12. If sec theta + tan theta = m, show that ((m^(2) -1))/((m^(2) +1)) = ...

    Text Solution

    |

  13. A moving boat is observed from the top of a 150 m high cliff moving aw...

    Text Solution

    |

  14. A ladder rests against a vertical wall at inclination alpha to the hor...

    Text Solution

    |

  15. There are two temples, one on each bank of a river, just opposite t...

    Text Solution

    |

  16. A boy standing on a horizontal plane finds a bird flying at a distance...

    Text Solution

    |

  17. prove that: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec ...

    Text Solution

    |

  18. The lower window of a house is at a height of 2m above the ground and ...

    Text Solution

    |

  19. Prove that: (sin theta)/(cot theta + "cosec"theta) = 2 + (sin theta)/(...

    Text Solution

    |

  20. Prove that (sinA -cos A+1)/(sin A + cos A - 1) = (1)/(sec A - tan A)

    Text Solution

    |