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

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is `60^(@)` and the angle of elevation of the top of the second tower from the foot of the first tower is `30^(@)`. Find the distance between the two towers and also the height of the other tower.

Text Solution

Verified by Experts

The correct Answer is:
`10sqrt(3)m, 10m`
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 30 m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@) . Find the distance between the two and also the height of the tower.

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@). The distance between the two towers is m times the height of the shorter tower. What is m equal to ?

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60^@ and the angle of elevation of the top iof the second tower from the foot of the first tower is 30^@ . The distance between the two towers isntimes the height of the shorter tower. What is nequal to?

The angle of elevation of the top of a tower of height H from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@) . If h is the height of the other tower, then which one of the following is correct?

The angle of elevation of the top of a tower of height H from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top of the second tower from the foot of the first tower is 30^(@). If is the height of the other tower is h , then which one of the following is correct?

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 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 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 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.

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?

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

    |