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

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. Find the height of the hill.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF TRIGONOMETRY

    VGS PUBLICATION-BRILLIANT|Exercise MODEL EXAMINATION|89 Videos
  • APPENDIX MATHEMATICAL MODELLING

    VGS PUBLICATION-BRILLIANT|Exercise THINK & DISCUSS|1 Videos
  • COORDINATE GEOMETRY

    VGS PUBLICATION-BRILLIANT|Exercise CCE model examination|151 Videos

Similar Questions

Explore conceptually related problems

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 60^(@) . If the tower is 30m high, find the height of the building.

The angle of elevation of the top of a tower from the foot of a building is 30^(@) and the angle of elevation of the top of the building from the foot of the tower is 60^(@) . What is the ratio of heights of tower and building.

The angle of elevation of the top of a tower from the foot of the building is 30^(@) and the angle of elevation of fhe top of the building from the foot of the tower is 60^(@) . What is the ratio of heights of tower and building?

From a point 30 mts from the foot of a tower, the angle of elevation of the top is 30^@ . The height of the tower is………..

From the top of a building, the angle of elevation of the top of a cell tower is 60^(@) and the angle of depression to its foot is 45^(@) . If distance of the building from the tower is 7m, then find the height of the tower.

The angle of elevation of the top of the top of a vertical tower from a point A, due east of it is 45^(@) . The angle of elevation of the top of the same tower from a point B, due south of A is 30^(@) . If the distance between A and B is 54sqrt2m , then the height of the tower (in meters), is

The angle of elevation of the top of a tower from a point situated at a distance of 100 m from the base of tower is 30 degrees. find the height of the tower is

The angle of elevation of a tower from a point on the same level as the foot of the tower is 30^@ on advancing 150 meters towarsd the foot of the tower, the angle of elevation of the tower becomes 60^@ . Find the height of the tower.

VGS PUBLICATION-BRILLIANT-APPLICATIONS OF TRIGONOMETRY-EXERCISE
  1. The angle of the elevation of the top of a tower from two points at ...

    Text Solution

    |

  2. From the top of a tower of 50m high, Neha observes the angles of depre...

    Text Solution

    |

  3. The angle of elevation of the top of a hill from the foot of a tower i...

    Text Solution

    |

  4. Two men on either side of a temple of 30 meter height observe its top ...

    Text Solution

    |

  5. A man observes top of a tower at an angle of elevation of 30^@. When h...

    Text Solution

    |

  6. A flag pole 4 cm tall casts a 6m, shadow. At the same time , a nearby ...

    Text Solution

    |

  7. A pole is arranged from a height of 30m from the ground, making 60^(@)...

    Text Solution

    |

  8. A long pole is broken in a storm. Top end of the broken pole touched t...

    Text Solution

    |

  9. A kite is flown from a building with a height (h) m with a long rope. ...

    Text Solution

    |

  10. A person observes tops of two buildings with an angle of elevations 35...

    Text Solution

    |

  11. A 15 m long pole forms 5sqrt(3) m long shadow at 8 AM in the morning. ...

    Text Solution

    |

  12. Ladder 'x' meters long is laid against a well making an angle 'theta' ...

    Text Solution

    |

  13. Two persons A and B observe the top of a pole at an angle of elevation...

    Text Solution

    |

  14. Top of a building was observed at an angle of elevation alpha from a p...

    Text Solution

    |

  15. If the angle of elevation of sun increases from 0^(@)" to "90^(@), the...

    Text Solution

    |

  16. The angle of depression from the top of a tower 12m height, at a point...

    Text Solution

    |

  17. A ladder touches a wall at a height of 5m. The angle made by the ladde...

    Text Solution

    |

  18. A 20 m long ladder is placed on a pole of 10 m height making 'alpha' a...

    Text Solution

    |

  19. A ladder 15m long just reaches the top of vertical wall. If the ladder...

    Text Solution

    |

  20. The length of the shadow of a tree is 8 m long when the sun's angle of...

    Text Solution

    |