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

The angle of elevation of the top of a tower as observed from a point in a horizontal plane through the foot of the tower is `32^0dot` When the observer moves towards the tower a distance of 100m, he finds the angle of elevation of the top to be `63^0dot` Find the height of the tower and the distance of the first position from the tower. [Take `tan32^0=06248a n dtan63^0=1. 9626]`

Text Solution

Verified by Experts

The correct Answer is:
91.65m, 146.7m
Promotional Banner

Topper's Solved these Questions

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( LONG ANSWER QUESTIONS II)|11 Videos
  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|11 Videos
  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( SHORT ANSWER QUESTIONS I)|10 Videos
  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos
  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower from a point 40 m away from its foot is 60^(@) . Find the height of the tower.

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

The angle of elevation of the top of a tower at a horizontal distance equal to the height of the tower from the base of the tower is

The angle of elevation of the top of a tower at a point on the ground, 50 m away from the foot of the tower, is 60°. Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 40 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 30m 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.

VK GLOBAL PUBLICATION-HEIGHT AND DISTANCE-PROFICIENCY EXERCISE ( SHORT ANSWER QUESTIONS II)
  1. A man standing on the deck of a ship, which is 10 m above water level,...

    Text Solution

    |

  2. The angles of depression of the and bottom of a 50 m high building fro...

    Text Solution

    |

  3. The angles of depression of the top and bottom of a building 50 metres...

    Text Solution

    |

  4. A vertical tower Stands on a horizontal plane and is surmounted by a v...

    Text Solution

    |

  5. The angle of elevation of the top of a tower 30 m high from the foot o...

    Text Solution

    |

  6. A man on the top of a vertical tower observes a car moving at a unifor...

    Text Solution

    |

  7. From the top of a tower h m high, angles of depression of two objects,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. A window of a house is h metres above the ground. From the window, the...

    Text Solution

    |

  11. As observed from the top of a light house, 100m above sea level, th...

    Text Solution

    |

  12. The angle of elevation of a jet plane from a point A on the grund is 6...

    Text Solution

    |

  13. An aeroplane when flying at a height of 4000m from the ground passes ...

    Text Solution

    |

  14. On a horizontal plane there is a vertical tower with a flag pole on th...

    Text Solution

    |

  15. The angle of elevation of the top of a tower as observed from a point ...

    Text Solution

    |

  16. The angle of elevation of a tower from a point on the same level as th...

    Text Solution

    |

  17. The angle of elevation of the top of a tower from a point A on the ...

    Text Solution

    |

  18. From the top of a building 15m high the angle of elevation of the top ...

    Text Solution

    |

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

    Text Solution

    |

  20. The angles of depression of the top and bottom of 12,m tall building f...

    Text Solution

    |