Home
Class 10
MATHS
The tops of two towers of height x an...

The tops of two towers of height `x` and `y` , standing on level ground, subtend angles of `30o` and `60o` respectively at the centre of the line joining their feet, then find `x\ : y` .

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos
  • STATISTICS

    RD SHARMA|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

If two towers of height h_(1) and h_(2) subted angle of 60^(@) and 30^(@) respectively at the mid point of the line joining their feet, then find h_(1):h_(2) .

If in two circles, arcs of the same length subtend angles 60o and 75o at the centre, find the ratio of their radii.

From the top of a 50m high tower,the angles of depression of the top and bottom of a pole are observed to be 45o and 60o respectively. Find the height of the pole.

There are two temples,one on each bank of a river,just opposite to each other.One temple is 54 m high.From the top of this temple,the angles of depression of the top and the foot of the other temple are 30o and 60o respectively. Find the width of the river and the height of the other temple.

There are two temples,one on each bank of a river,just opposite to each other.One temple is 50m high.From the top of this temple,the angles of depression of the top and the foot of the other temple are 30o and 60o respectively. Find the width of the river and the height of the other temple.

A person observed the angle of elevation of the top of a tower as 30o. He walked 50m towards the foot of the tower along level ground and found the angle of elevation of the top of the tower as 60o. Find the height of the tower.

The shadow of a tower standing on a level ground is found to be 40m longer when Suns altitude is 30o than when it was 60o .Find the height of the tower.

A straight highway leads to the foot of a tower of height 50m .From the top of the tower,the angles of depression of two cars standing on the highway are 30o and 60o respectively. What is the distance between the two cars and how far is each car from the tower?

RD SHARMA-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
  1. If the angles of elevation of the top of a tower from two points at...

    Text Solution

    |

  2. In Fig. 12.58, what are the angles of depression from the observing...

    Text Solution

    |

  3. The tops of two towers of height x and y , standing on level gro...

    Text Solution

    |

  4. The angle of elevation of the top of a tower at a point on the grou...

    Text Solution

    |

  5. The ratio of the length of a rod and its shadow is 1\ :sqrt(3) . The...

    Text Solution

    |

  6. If the angle of elevation of a tower from a distance of 100 metres ...

    Text Solution

    |

  7. If the altitude of the sum is at 60o , then the height of the ve...

    Text Solution

    |

  8. If the angles of elevation of a tower from two points distant a and...

    Text Solution

    |

  9. If the angles of elevation of a tower from two points distant a and...

    Text Solution

    |

  10. The tops of two poles of height 20 m and 14 m are connected by a wi...

    Text Solution

    |

  11. From the top of a cliff 25 m high the angle of elevation of a tower...

    Text Solution

    |

  12. The angles of depression of two ships from the top of a light house...

    Text Solution

    |

  13. If the angle of elevation of a cloud from a point 200 m above a lak...

    Text Solution

    |

  14. The height of a tower is 100 m. When the angle of elevation of the ...

    Text Solution

    |

  15. Two persons are a metres apart and the height of one is double that...

    Text Solution

    |

  16. A tower subtends an angle of 30o at a point on the same level as...

    Text Solution

    |

  17. It is found that on walking x metres towards a chimney in a hori...

    Text Solution

    |

  18. The length of the shadow of a tower standing on level ground is fou...

    Text Solution

    |

  19. The tops of two poles of height 16 m and 10 m are connected by a wi...

    Text Solution

    |

  20. If a 1.5 m tall girl stands at a distance of 3 m from a lamp-post and...

    Text Solution

    |