Home
Class 11
MATHS
The elevation of top of a hill is observ...

The elevation of top of a hill is observed from a certain point in the horizontal plane through its base, to be `30^(@)`. After walking 120 meters towards it on level ground the elevation is found to be `60^(@)`. Then the height of the object (in meters) is

A

120

B

`60sqrt3`

C

`120sqrt3`

D

60

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise LECTURE SHEET Exercise-I (Straight Objective Type Questions)|27 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-I) (Straight Objective Type Questions)|39 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II ) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)|20 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

Similar Questions

Explore conceptually related problems

The elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be 30^@ . After walking 120 metres towards it on level ground the elevation is found to be 60^@ . Then the height of the object (in metres ) is

At a certain point the angle of elevation of a tower is found to be cot^(-1)(3/5) . On walking 32 metres directly towards the tower its angle of elevation is cot^(-1)(2/5) . The height of the tower in metres is

At the foot of the mountain the elevation of its summit is 45^(@) After ascnding 100 mt towards the mountain up a slope of 30^(@) inclination is found to be 60^(@) . The height of the mountain is

From a point on the level ground , the angel of elevation of the top of a pole is 30^(@) . On moving 20 meters nearer, the angle of elevation is 45^(@) . Then the height of the pole, in meters, 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.

The angle of elevation of an object from a point P on the level ground is a. Moving d metres on the ground towards the object, the angle of elevation is found to be beta . Then the height (in metres) of the object is

The angle of elevation of an object from a point P on the level ground is alpha . Moving d metres on the ground towards the object, the angle of elevation is found to be beta . Then the height (in metres -of the object is

AAKASH SERIES-HEIGHTS AND DISTANCES-PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. A tower subtends angles alpha,2 alpha, 3 alpha respectively at points ...

    Text Solution

    |

  2. A vertical tower stands on a declivity which is inclinde at 15^(@) to ...

    Text Solution

    |

  3. In a prison wall there is a window of 1 metre height, 14 metres from t...

    Text Solution

    |

  4. A flag-staff stands on a tower which is on level ground. The total hei...

    Text Solution

    |

  5. A tower stands at the top a hill whose height is three times the heigh...

    Text Solution

    |

  6. A vertical pole more than 100 ft high consists of two portions the low...

    Text Solution

    |

  7. A straight pole A subtends a right angle at a point B of another pole ...

    Text Solution

    |

  8. A tower, of x metres high, has a flagstaff at its top. The tower and t...

    Text Solution

    |

  9. From the top of a chiff 30 metres high, the angle of elevation of the ...

    Text Solution

    |

  10. From a point E on the horizontal due to east of a tree, the top of the...

    Text Solution

    |

  11. Two pillars of equal height stand at a distance of 100 metres. At a po...

    Text Solution

    |

  12. The angle of elevation of a stationar cloud from a point 2500 m above ...

    Text Solution

    |

  13. The angle of elevation of the top point P of a vertical tower PQ of he...

    Text Solution

    |

  14. The angle of elevation of the top of a tower from the top and botton o...

    Text Solution

    |

  15. The tops of two poles of heights 10 metres and 12 metres are connected...

    Text Solution

    |

  16. A person observes the top of a tower from a point A on the ground. the...

    Text Solution

    |

  17. P is a point on the segment joining the feet of two vertical poles of ...

    Text Solution

    |

  18. If a flag staff of 6 mt high placed on the top of a tower throws a sha...

    Text Solution

    |

  19. The elevation of top of a hill is observed from a certain point in the...

    Text Solution

    |

  20. A tower subtends an angle alpha at a point A on the same level as the ...

    Text Solution

    |