Home
Class 10
MATHS
The horizontal distance between two towe...

The horizontal distance between two tower is 120 m. The angle of elevation of the top and angle of depression of the bottom of the first tower as observed from the second tower is `30^(@)and24^(@)` respectively.

Find the height of the two towers. Give youe answer correct to 3 significant figures.

Text Solution

Verified by Experts

The correct Answer is:
123 m and 53.4 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

The horizontal distance between two towers is 140 mdot The angle of elevation of the top of the first tower when seen from the top of the second tower is 30^0dot If the height of the second tower is 60 m , find the height of the first tower.

The angles of the depression of the top and bottom of the tower is seen from the top of a 60sqrt(3) cliff are 45^alpha and 60^alpha respectively. Find the height of the tower.

The angles of the depression of the top and bottom of the tower is seen from the top of a 60sqrt(3) cliff are 45^alpha and 60^alpha respectively. Find the height of the tower.

The angles of the depression of the top and bottom of the tower is seen from the top of a 60sqrt(3) cliff are 45^alpha and 60^alpha respectively. Find the height of the tower.

The horizontal distance between two tower is 150 m. The angle of depression of the top of one tower as observed from the top of other tower, which is 120 m in hight, is 30^(@). Find the height of the first tower.

The horizontal distance between two towers is 75 m and the angular depression of the top of the first tower as see from the top of the second, which is 160 m high, is 45^(@) . Find the height of the first tower.

From the top of a 50 m 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.

If from the top of a tower 80 meters high the angles of depression of the top and bottom of a house are 30^(@) and 45^(@) respectively, then the height of the house is

The distance between two towers is 140 m while seeing from the top if the second tower, the angle of elevation of first tower is 30^(@) .If the height of the second tower is 60 m, then find the height of the first tower.

From the top of a 7 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of the foot of the tower is 30°. Find the height of the tower.

ICSE-HEIGHTS AND DISTANCES -Exercise 22 C
  1. A vertical tower stands on a horizontal plane and is surmounted by a v...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. An aeroplane at an altitude of 250 m observes the angle of depression ...

    Text Solution

    |

  19. The horizontal distance between two tower is 120 m. The angle of eleva...

    Text Solution

    |

  20. The angles of depression of two ships a A and B as observed from the t...

    Text Solution

    |