Home
Class 10
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

`100sqrt(3)`

B

`100/sqrt(3)`

C

50

D

`150(sqrt(3)+1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|41 Videos

  • FUNDAMENTALS OF ALGEBRA

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|23 Videos

  • INCOMPLETE FIGURES

    MCGROW HILL PUBLICATION|Exercise EXAMPLE|2 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

MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -MULTIPLE CHOICE QUESTIONS
  1. The upper part of a tree, broken by the wind makes an angle of 60° wit...

    Text Solution

    |

  2. A man on the top of a tower, standing on the seashore, finds that a...

    Text Solution

    |

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

    Text Solution

    |

  4. A flag staff of 5m high stands on a building of 25m high. At an obse...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The straight roads intersect at an angle of 60°. A bus on one road is ...

    Text Solution

    |

  8. A flagstaff 10 m high stands at the centre of a equilateral triangle, ...

    Text Solution

    |

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

    Text Solution

    |

  10. From the top of a light house, the angles of depression of two station...

    Text Solution

    |

  11. A flag staff on the top of the tower 80 mt of height subtends an angle...

    Text Solution

    |

  12. An aeroplane flying horizontally 900 m above the ground is observed at...

    Text Solution

    |

  13. From the top of the house 18m high, if the angle of elevation of the t...

    Text Solution

    |

  14. If the angle of elevation of an object from a point 100 m above a lake...

    Text Solution

    |

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

    Text Solution

    |

  16. If the angles of elevation of the top of a tower from two points at d...

    Text Solution

    |

  17. A boat is rowed away from a cliff 150 m high. At the top of the cliff,...

    Text Solution

    |

  18. From the top of a church spire 96 m high, the angle of depression of t...

    Text Solution

    |

  19. A flagstaff of height 1/5 of the height of a tower is mounted on the t...

    Text Solution

    |

  20. The angles of elevation of the tops of two vertical towers as seen fro...

    Text Solution

    |