Home
Class 10
MATHS
At a point on level ground, the angle...

At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is `5//12` . On walking 192 metres towards the tower, the tangent of the angle of elevation is `3//4` . Find the height of the tower.

Text Solution

Verified by Experts

The correct Answer is:
180 m
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    ICSE|Exercise Exercise 22 B |19 Videos

  • GST [GOODS AND SERVICES TAX]

    ICSE|Exercise Exercise 1(B)|16 Videos

  • LINEAR INEQUATIONS

    ICSE|Exercise Competency Based Questions|15 Videos

Similar Questions

Explore conceptually related problems

From a point on the ground, the angle of elevation of the top of a vertical tower is found to be such that its tangent is (3)/(5) . On walking 50 m towards the tower, the tangent of the new angle of elevation of the top of the tower is found to be (4)/(5) . Find the height of the tower.

The angle of elevation of the top of a tower at a point A on the ground is 30^(@) . On walking 20 meters toward the tower, the angle of elevation is 60^(@) . Find the height of the tower and its distance from A.

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 45 m towards the tower, the angle of elevation becomes 45^(@) . Find the height of the tower.

A person observed the angle of elevation of the top of a tower as 30^@ . 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 60^@ . Find the height of the tower.

A tower stands near an airport. The angle of elevation theta of the tower from a point on the ground such that its tangent is 5/12 . Find the height of the tower, if the distance of the observer from the tower is 120m.

The angle of elevation of the top of a tower at any point on the ground is 30^@ and moving 20 metres towards the tower it becomes 60^@ . The height of the tower is

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 40sqrt3 m towards the tower, the angle of elevation becomes 60^(@) . Find the height of the tower.

The angle of elevation of the top of a tower as observed from a point on the ground is 'a' and on moving 'a' metre towards the tower, the angle of elevation is 'beta' Prove that the height of the tower is : (a tan alphatanbeta)/(tanbeta-tanalpha)

On the level ground, the angle of elevation of a tower is 30^(@) . On moving 20 m nearer, the angle of elevation is 60^(@) . 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 30^0dot On advancing 150 metres towards the foot of the tower, the angle of elevation of the tower becomes 60^0dot Show that the height of the tower is 129.9 metres (Use sqrt(3)=1. 732 ).

ICSE-HEIGHTS AND DISTANCES -Exercise 22 C
  1. The radius of a circle is given as 15 cm and chord AB subtends an angl...

    Text Solution

    |

  2. The radius of a circle is given as 15 cm and chord AB subtends an angl...

    Text Solution

    |

  3. At a point on level ground, the angle of elevation of a vertical to...

    Text Solution

    |

  4. A vertical tower stands on a horizontal plane and is surmounted by a v...

    Text Solution

    |

  5. With reference to the given figure, a man stands on the ground at poin...

    Text Solution

    |

  6. With reference to the given figure, a man stands on the ground at poin...

    Text Solution

    |

  7. The angles of elevation of the top of a tower from two points at a dis...

    Text Solution

    |

  8. From a window A , 10 m above the ground the angle of elevation of the...

    Text Solution

    |

  9. A vertical tower is 20 m high. A man standing at some distance from th...

    Text Solution

    |

  10. A man standing on the bank of a river observes that the angle of elev...

    Text Solution

    |

  11. A man standing on the bank of a river observes that the angle of elev...

    Text Solution

    |

  12. A 20 m high vertical pole and a vertical tower are on the same level g...

    Text Solution

    |

  13. A 20 m high vertical pole and a vertical tower are on the same level g...

    Text Solution

    |

  14. A vertical pole and a vertical tower are on the same level ground in ...

    Text Solution

    |

  15. A vertical pole and a vertical tower are on the same level ground in ...

    Text Solution

    |

  16. From a point 36 m above the surface of a lake , the angle of elevatio...

    Text Solution

    |

  17. A man observes the angle of elevation of the top of a building to be 3...

    Text Solution

    |

  18. As observed from the top of a 80 m tall lighthouse, the angle of dep...

    Text Solution

    |

  19. In the given figure, A from the top of a building AB = 60 m high, the ...

    Text Solution

    |

  20. In the figure given, from the top of a building AB = 60 m high, the an...

    Text Solution

    |