Home
Class 10
MATHS
Two poles of equal heights are standi...

Two poles of equal heights are standing opposite to each other on either side of the road which is 80m wide. From a point between them on the road the angles of elevation of the top of the poles are `60o` and `30o` respectively. Find the height of the poles and the distances of the point from the poles.

Text Solution

Verified by Experts

The correct Answer is:
60 m
Promotional Banner

Topper's Solved these Questions

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise HOTS (HIGHER ORDER THINKING SKILLS)|9 Videos

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( VERY SHORT ANSWER QUESTIONS I)|12 Videos

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise SHORT ANSWER QUESTIONS II|16 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

Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60^@ and 30^@ , respectively. Find the height of the poles and the distances of the point from the poles.

Two poles of equal heights are standing opposite to each other on either side of the road , which is 100 m wide . From a point between them on the road , the angles of elevation of the top of the poles are 60^(@) and 30^(@) respectively .Find the height of the poles .

The two palm trees are of equal heights and are standing opposite each other on either side of the river, which is 80 m wide. From a point O between them on the river the angles of elevation of the top of the trees are 60^(@) and 30^(@) , respectively. Find the height of the trees and the distances of the point O from the trees. OR The angles of depression of the top and bottom of a building 50 meters high as observed from the top of a tower are 30^(@) and 60^(@) respectively. Find the height of the tower, and also the horizontal distance between the building and the tower.

Two poles of equal heights are standing opposite to each other on either side of the road which is 80 m wide. From a point P between them on the road, the angle of elevation of the top of one pole is 60^(@) and the angle of depression from the top of another pole and distances of the point P from the poles.

Two poles of equal height are standing opposite to each other on either side of a road which is 100 m wide .From a point between them on road , angle of elevation of their tops are 30^(@)and60^(@) .The height of each pole (in metre ) is

Two pillars of equal heights stand on either side of a road which is 100m wide.At a point on the road between the pillars,the angles of elevations of the tops of the pillars are 30^(@) and 45^(@). Find the height of each pillar and position of the point on the road.

Two pillars of equal height stand on either side of a roadway which is 120 m wide. At a point in the road between the pillars, the angles of elevation of the pillars are 60^@ and 30^@ . Find the height of each pillars to the nearest metre and position of the point from both the pillars.

From te top of a tower , 60 meters high, the angles of depression of the top and bottom of a pole are alpha and beta respectively .Find the height of the pole.

Two poles are erected on either side of the bank of a river just opposite to each other.One pole is 40m high.Form the top and foot of this pole,the angles of elevation of the top of the other pole are 30^(@) and 60^(@) respectively.Find the height of the other pole and the width of the river.

VK GLOBAL PUBLICATION-HEIGHT AND DISTANCE-LONG ANSWER QUESTIONS
  1. From a point on the ground, the angles of elevation of the bottom and...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. At a point, the angle of elevation of a tower is such that its tangent...

    Text Solution

    |

  5. A 1.2 m tall girl spots a ballon moving with wind in a horizontal line...

    Text Solution

    |

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

    Text Solution

    |

  7. In fig ABDC is a trapezium in which AB||CD. Line segments RN and LM ar...

    Text Solution

    |

  8. Two poles of equal heights are standing opposite to each other on e...

    Text Solution

    |

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

    Text Solution

    |

  10. A person standing on the bank of a river observes that the angle of ...

    Text Solution

    |

  11. The angles of elevation oand depression of the top and bottom of a lig...

    Text Solution

    |

  12. From the top of a building AB, 60 metres hight, the angles of depressi...

    Text Solution

    |

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

    Text Solution

    |

  14. The angles of depression of the top and the bottom of an 8 m tall bui...

    Text Solution

    |

  15. The angle of elevation of the top of a tower at a distance of 120 m ...

    Text Solution

    |

  16. A round balloon of radius r subtends an angle alpha at the eye of the ...

    Text Solution

    |

  17. A vertical tower stands on a horizontal plane and is surmounted by a f...

    Text Solution

    |