Home
Class 10
MATHS
An aeroplane when flying at a height o...

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are `60^@` and `45^@` respectively. Find the vertical distance between the aeroplanes at that instant.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos

Similar Questions

Explore conceptually related problems

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^0&45^0 respectively. Find the vertical distance between the aeroplanes at that instant.

An aeroplane, when 3000 m high, passes vertically above anthoer aeroplane at an instant when the angles of elevation of the two planes from the same point on the ground are 45^(@)" and "60^(@) respectively. Find the vertical distance between the tow planes.

An aeroplane flying at a height 300 metre above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60^@ and 45^@ respectively. Then the height of the lower plane from the ground in metres is

The lower window of a house is at a height of 2m above the ground and its upper window is 4m vertically above the tower window. At certain instant the angles of elevation of a balloon from these windows are observed to be 60^(@) and 30^(@) , respectively. Find the height of the balloon above the ground.

An aeroplane id flying at a height of 300 m above the ground. Fying at this height , theangles of depression from the aeroplane of two points on both banks of a river in opposite directions are 45^(@)" and "60^(@) respectively. Find the width of the river.[use sqrt3=1.732 ]

The angle of elevation of the top of a tower from a point on the ground is 60^(@) . which is 25 m away from the foot of the tower. Find the height of the tower

The angle of elevation of the top of a tower. from a point on the ground and at a distance of 160 m from its foot, is fond to be 60^(@) . Find the height of the tower .

Two points A and B are on the same side of a tower and in the same straight line with its base. The angles of depression of these points from the top of the tower are 60^(@)" and "45^(@) respectively. If the height of the tower is 15 m, then find the distance between these points.

An aeroplane at an altitude of 1200 metres finds that two ships are sailing towards it in the same direction. The angles of depression of the ships as observed from the aeroplane are 60^o and 30^o respectively. Find the distance between the two ships.

From a point on the ground, 20m away from the foot of a vertical tower, the angle of elevation of the top of the tower is 60^@ , what is the length of the tower?

RD SHARMA ENGLISH-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
  1. There is a small island in the middle of a 100m wide river and a ta...

    Text Solution

    |

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

    Text Solution

    |

  3. An aeroplane when flying at a height of 4000m from the ground passes...

    Text Solution

    |

  4. A tower stands vertically on the ground. From a point on the ground,...

    Text Solution

    |

  5. The angle of elevation of a ladder leaning against a wall is 60^@ an...

    Text Solution

    |

  6. A ladder is placed along a wall of a house such that its upper end i...

    Text Solution

    |

  7. An electric pole is 10m high. A steel wire tied to top of the pole i...

    Text Solution

    |

  8. A kite is flying at a height of 75 metres from the ground level, att...

    Text Solution

    |

  9. A vertically straight tree, 15m high, is broken by the wind in such ...

    Text Solution

    |

  10. A person observed the angle of elevation of the top of a tower as 30...

    Text Solution

    |

  11. The shadow of a tower, when the angle of elevation of the sun is 45...

    Text Solution

    |

  12. A parachutist is descending vertically and makes angles of elevation...

    Text Solution

    |

  13. On the same side of a tower, two objects are located. When observed...

    Text Solution

    |

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

    Text Solution

    |

  15. From a point P on the ground the angle of elevation of a 10m tall ...

    Text Solution

    |

  16. A 1.6m tall girl stands at a distance of 3.2m from a lamp-post and ...

    Text Solution

    |

  17. A 1.5m tall boy is standing at some distance from a 30m tall buildin...

    Text Solution

    |

  18. The shadow of a tower standing on a level ground is found to be 40m...

    Text Solution

    |

  19. From a point on the ground the angles of elevation of the bottom an...

    Text Solution

    |

  20. The angles of depression of the top and bottom of 8m tall building ...

    Text Solution

    |