Home
Class 14
MATHS
An aeroplane flying at a height of 3000 ...

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

A

a.`5000(sqrt(3)-1)m`

B

b.`5000(3-sqrt(3))m`

C

c.`5000(1-(1)/(sqrt(3)))` m

D

d.`4500` m

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -V|45 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE - II|420 Videos

  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 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 60o and 45o 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 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 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

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 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 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?

KIRAN PUBLICATION-TRIGONOMETRY -TYPE -III
  1. A telegraph post is bent at a point above the ground due to ...

    Text Solution

    |

  2. The angle of elevation of the top of a building and the top of t...

    Text Solution

    |

  3. An aeroplane flying at a height of 3000 m passes vertically above anot...

    Text Solution

    |

  4. The distance between two vertical poles is 60 m . The height of ...

    Text Solution

    |

  5. Find the angular elevation of the Sun when the shadow of a 15 ...

    Text Solution

    |

  6. A vertical post 15 ft high is broken at certain height and its upper p...

    Text Solution

    |

  7. The shadow of a tower is sqrt(3) times its height .Then the a...

    Text Solution

    |

  8. A man 6 ft tall casts a shadow 4 ft long , at the same time w...

    Text Solution

    |

  9. The angle of elevation of an aeroplane from a point on the ground ...

    Text Solution

    |

  10. The angle of elevation of the top of a tower from the point P ...

    Text Solution

    |

  11. The angle of elevation of a tower from a distance 100 m from it...

    Text Solution

    |

  12. If the angle of elevation of a baloon from two consecutive kilome...

    Text Solution

    |

  13. A vertical stick 12 m long casts a shadow 8 m long on the ground. At t...

    Text Solution

    |

  14. A tower standing on a horizontal plane subtends a certain angle...

    Text Solution

    |

  15. From a point P on a level ground the angle of elevation to the t...

    Text Solution

    |

  16. Two men standing on same side of a 75mtr high pillar, observe the angl...

    Text Solution

    |

  17. From two points on the ground lying on a straight line through ...

    Text Solution

    |

  18. From a point P on the ground the angle of elevation of the top o...

    Text Solution

    |

  19. The angle of elevation of the top of a vertical tower situated ...

    Text Solution

    |

  20. The angles of elevation of an aeroplane flying vertically above th...

    Text Solution

    |