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

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos
  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos

Similar Questions

Explore conceptually related problems

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30^@and 60^@ respectively. The height of the tower is

If from the top of a tower, 60 meters high, the angles of depression of the top an floor of a house are 30^(@) and 60^(@) respectively, then the height (in meters) of the house is

The angle of elevation of the top of a tower from the top and bottom of a building of height 'a' are 30^@ and 45^@ respectively. If the tower and the building stand at the same level , the height of the tower is

The angle of elevation of the top of a tower from the top and bottom of a building of height 'a' are 30^@ and 45^@ respectively. If the tower and the building stand at the same level , the height of the tower is

A vertical tower PQ subtends the same anlgle of 30^@ at each of two points A and B ,60 m apart on the ground .If AB subtends an angle of 120^@ at p the foot of the tower ,then find the height of the tower .

If the lines of regreasion of y on x and x on y makes angle 30 ^(@) and 60^(@) respectively with positive direction of x - axis the correlation coefficient between x on y is

From the top of a cliff, the angle of depression of the top and bottom of a tower are observed to be 45^(@) and 60^(@) respectively. If the height of the tower is 20 m. Find : (i) the height of the cliff (ii) the distance between the cliff and 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.

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

The persons are standing on the opposite sides of a tower. They observe the angles of elevation of the top of the tower to be 30^(@) and 38^(@) respectively. Find the distance between them, if the height of the tower is 50 m

RD SHARMA ENGLISH-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 groun...

    Text Solution

    |

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

    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 f...

    Text Solution

    |

  7. If the altitude of the sun is at 60^@ , then the height of the ver...

    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 wir...

    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 lake...

    Text Solution

    |

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

    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 30^o at a point on the same level as its ...

    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 wir...

    Text Solution

    |

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

    Text Solution

    |