Home
Class 10
MATHS
A 1.2m tall girl spots a balloon moving ...

A 1.2m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is `60^(@)`. After some time, the angle of elevation reduces to `30^(@)` (see the given figure). FInd the distance travelled by the balloon during the interval.

Text Solution

Verified by Experts

The correct Answer is:
`58 sqrt3m`
Promotional Banner

Topper's Solved these Questions

  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Test Your Skills|5 Videos

  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|7 Videos

  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Other Important Examples|3 Videos

  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|26 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

Similar Questions

Explore conceptually related problems

An observer spots a balloon moving with the wind in a horizontal line at a height of 105 m from the ground. The angle of elevation of the balloon after sometime reduces from 60% to 30%. Find the distance travelled by the balloon during the interval.

An observer of height 1.8 m is 13.2 m away from a palm tree. The angle of elevation of the top of the tree from his eyes is 45^(@) What is the height of the palm tree?

A statue, 1.6m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^(@) and from the same point the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the pedestal.

A statue stands on the top of a 2m tall pedestal. From a point on the ground, the angle ofelevation of the top of the statue is 60^(@) and from the same point, the angle of elevation of the top of the pedestal is 45^(@) . Find the height of the statue.

An observer 1.7m tall, is 20 sqrt3m away from a tower. The angle of elevation of the top of the tower from the eyes of the observer is 30^(@) . Find the height of the tower.

An observer, 1.5m tall, is 28.5m away from a 30m high tower. Determine the angle of elevation of the top of the tower from the eyes of the observer.

An observer 1.5m tall is 28.5m away from a chimney. The angle of elevation of the top of the chimney from her eyes is 45^(@) . What is the height of the chimney?

A pole stands erect on the ground. If the angle of elevation of the top of the pole from a point 90m away from the foot of the pole is 30^(@) , find the height of the pole.

The angle of elevation of a jet plane from a point on the ground had measure 60^(@) . After a flight of 30 seconds, the angle of elevation has measure 30^(@) . If the jet plane is flying at a constant height of 4500 sqrt3m , find the speed of the jet plane

A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60^(@) . From another point 20m away from this point on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30^(@) (see the given figure). Find the height of the tower and the width of the canal.

KUMAR PRAKASHAN-SOME AAPLICATIONS OF TRIGONOMETRY-Exercise9.1
  1. A circus artist is climbing a 20m long rope, which is tightly stretche...

    Text Solution

    |

  2. A tree breaks due to storm and the broken part bends so that the top o...

    Text Solution

    |

  3. A constractor plans to install two slides for the children to play in ...

    Text Solution

    |

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

    Text Solution

    |

  5. A kite is flying at a height of 60m above the ground. The string attac...

    Text Solution

    |

  6. A 1.5m tall boy is standing at some distance from a 30m tall building....

    Text Solution

    |

  7. From a point on the ground, the angles of elevation of the bottom and ...

    Text Solution

    |

  8. A statue, 1.6m tall, stands on the top of a pedestal. From a point on ...

    Text Solution

    |

  9. The angle of elevation of the top of a building from the foot of the t...

    Text Solution

    |

  10. Two poles of equal heights are standing opposite each other on either ...

    Text Solution

    |

  11. A TV tower stands vertically on a bank of a canal. From a point on the...

    Text Solution

    |

  12. From the top of a 7m high building, the angle of elevation of the top ...

    Text Solution

    |

  13. As observed from the top of a 75m high lighthouse from the sea-level, ...

    Text Solution

    |

  14. A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...

    Text Solution

    |

  15. A straight highway leads to the foot of a tower. A man standing at the...

    Text Solution

    |

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

    Text Solution

    |