Home
Class 12
MATHS
An aeroplane flying at a height 300 metr...

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

A

`100sqrt3`

B

`100/sqrt3`

C

`50`

D

`150(sqrt3+1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    OBJECTIVE RD SHARMA|Exercise Exercise|45 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of two planes from the same point on the ground are 60^(@) and 45^(@), respectively. What is the height of the lower plane from the ground?

An aeroplane flying at a height of 3000 m passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from some point on the ground are 60^(@) and 45^(@) respectively. Then the vertical distance between the two planes is

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 60o and 45o respectively.Find the vertical distance between the aeroplanes at that instant.

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 when 3500m high passes vertically above another aeroplane at an instant when the angles of elevation of the two aeroplanes from the same point on the ground are 45 and 30 respectively.Find the vertical distance 35. between the two aeroplanes.

An aeroplane at a height of 600 m passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60^@ and 45^@ respectively. How many metres higher is the one from the other?

An aeroplane when 3000 m high passes vertically above another aeroplane at an instant when their angles of elevation at the same observing point are 60^(@) and 45^(@) respectively. How many metres higher is the one than the other?

If the angles of elevation of a ballon from the two consecultive kilometre stones along a road are 30^@ and 60^@ respectively, then the height of the balloon above the ground will be

OBJECTIVE RD SHARMA-HEIGHTS AND DISTANCES-Exercise
  1. AB is a vertical pole. The end A is on the level ground .C is the midd...

    Text Solution

    |

  2. A tree is broken by wind, its upper part touches the ground at a point...

    Text Solution

    |

  3. An aeroplane flying at a height 300 metre above the ground passes vert...

    Text Solution

    |

  4. A tower subtends an angle alpha at a point in the plane of its base a...

    Text Solution

    |

  5. The angle of elevation of the top of a tower standing on a horizontal ...

    Text Solution

    |

  6. From an aeroplane vertically over a straight horizontal road, the angl...

    Text Solution

    |

  7. A vertical tower stands on a declicity which is inclined at 15^@ to th...

    Text Solution

    |

  8. The angle of elevation of an object on a hill from a point on the grou...

    Text Solution

    |

  9. A tower of x metres height has flag staff at its top. The tower and th...

    Text Solution

    |

  10. .A house of height 100 m substends a right angle at the window of an o...

    Text Solution

    |

  11. A tower of height b substends an angle at a point O on the leavel of t...

    Text Solution

    |

  12. A man of height 6 ft. observes the top of a tower and the foot of th...

    Text Solution

    |

  13. If the elevation of the sun is 30^@ , then the length of the shadow c...

    Text Solution

    |

  14. A ladder rests against a vertical wall at angle alpha to the horizonta...

    Text Solution

    |

  15. From the top of a cliff 300 metres high, the top of a tower was obser...

    Text Solution

    |

  16. The angles of elevation of the top of a tower at the top and the foot ...

    Text Solution

    |

  17. A person standing on the bank of a river finds that the angle of elev...

    Text Solution

    |

  18. A tower subtends an angle of 30^@ at a point on the same level as the ...

    Text Solution

    |

  19. AB is a vertical pole and C is its mid point. The end A is on the leve...

    Text Solution

    |

  20. The angle of depression of a point situated at a distance of 70 metres...

    Text Solution

    |