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

Two poles of equal heights are standing opposite 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 `60^(@)` and `30^(@)`, 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:
The heght of the pole is `20 sqrt( 3) m` and the distance of the point from first poleis 20m and that of the second pole is 60m.
Promotional Banner

Topper's Solved these Questions

  • S.S.L.C ANNUAL EXAMINATION QUESTION PAPER MARCH- 2019 ( WITH ANSWERS )

    SUBHASH PUBLICATION|Exercise II. Answer the following|38 Videos
  • STATISTICS

    SUBHASH PUBLICATION|Exercise EXERCISE 13.4|3 Videos

Similar Questions

Explore conceptually related problems

Two poles of equal height are standing opposite to each other on the either side of the road which is 80 m wide. From a point P between them on road, the angle of elevation of the top of a pole is 60^(@) and the angle of depression from the top of another pole at point P is 30^(@) . Find the heights of the poles and distances of the point P from the poles.

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20m high building are 45^(@) and 60^(@) respectively. 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

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45^(@) and 60^(@) respectively. Find the height of the tower.

Two men on either side of a building 75 m high and in line with the base of building observe the angles of elevation of the top of the building as 30^(@) and 60^(@) . Find the distance between the two men.

The angle of depression of the top and bottom of a building 7 m tall from the top of a tower is 45^(@) and 60^(@) respectively. Find the height of the tower in metres.

Two pillars of equal height and on either side of a road , which is 100 m top of the angles of elevation of the top of the pillars are 60 and 30 at a point on the road between the pillars find the position of the point between the pillars and height of eah pillars

SUBHASH PUBLICATION-SOME APPLICATIONS OF TRIGONOMETRY -EXERCISE 9.1
  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 1.2m tall girl spots a balloon 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

    |