Home
Class 11
MATHS
An aeroplane is moving one kilometer hig...

An aeroplane is moving one kilometer high from west to east horizontally. From a point on the ground due south, the angle of elevation of the aaeroplane is `60^(@)`, and after 10 second, the angle of elevtion of the aeroplane is observed as `30^(@)`, then the speed (in `m//s`) of the aeroplane is

A

`240sqrt3km//hr`

B

`485km//hr`

C

`364km//hr`

D

`523 km//hr`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)|30 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise LECTURE SHEET Exercise-I (Straight Objective Type Questions)|27 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

Similar Questions

Explore conceptually related problems

An aeroplane is moving one kilometer high from west to east horizontally . From a point on the ground due south the angle of elevation of the aeroplane is 60^(@) , and after 10 second, the angle of elevation of the aeroplane is observed as 30^(@) . Then the speed (in m/s)of the bird is

A statue stands on the top of a 2m tall 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 pedstal is 45^(@) . Find the height of the statue.

From a point on the level ground, the angle of elevation of the top of a pole is 30^@ . On moving 20 metres nearer, the angle of elevation is 45^@ . Then the height of the pole, in metres , is

From a point on the level ground , the angel of elevation of the top of a pole is 30^(@) . On moving 20 meters nearer, the angle of elevation is 45^(@) . Then the height of the pole, in meters, is

An aeroplane flying horizontally 1 km above the ground is observed at an elevation of 60^(@) . After a flight of 10 seconds, its angle of elevation is observed to be 30^(@) from the same point on the ground. Find the speed of the aeroplane.

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45^@ . It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30^@ . Then the speed ( in m//s ) of the bird is

An aeroplane flying with uniform speed horizontally one kilometer above the ground id observed at an elevation of 60^(@) . Aftar 10s if the elevation is observed to be 30^(@) , then the speed of the aeroplane (in km/h) is

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point 'O' on the ground is 45^(@) . It flies off horizontally straight away from the point 'O'. After one second, the elevation of the bird from 'O' is reduced to 30^(@) . Then the speed (in m/s) of the bird is

AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET (EXERCISE - II ) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)
  1. A tower 51 m height has a mark at height of 25 m from the ground. At w...

    Text Solution

    |

  2. A flag staff of the height (a-b) stands on the top of a tower subtends...

    Text Solution

    |

  3. If each side of length 'a' of an equilateral triangle subteds an angle...

    Text Solution

    |

  4. A sphere of radius 'a' subtends an angle 60^(@) at a point P. Then the...

    Text Solution

    |

  5. The elevation of a tower due north of a station A is alpha and at anot...

    Text Solution

    |

  6. An aeroplane is moving one kilometer high from west to east horizontal...

    Text Solution

    |

  7. A spherical balloon of radius 5 subtends an angle 60^(@) at a point on...

    Text Solution

    |

  8. A person in aballoon, who has ascended verticallly from flat land at t...

    Text Solution

    |

  9. A sperical balloon of radius r subtends an angle alpha at the eye of a...

    Text Solution

    |

  10. Two pillars are 120 ft a part and the height of one in double that of ...

    Text Solution

    |

  11. Two vertical poles 20m and 80m heigh stand apart on a horizontal plane...

    Text Solution

    |

  12. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  13. A flag staff of height 10 metres is placed on the top of a tower of he...

    Text Solution

    |

  14. A tower leans towards west making an angle alpha with the vertical. Th...

    Text Solution

    |

  15. A Tower stands at the centre of a circular park. A and B are two point...

    Text Solution

    |

  16. A lamp post is sittuated at the middle point M of the side AC of a tri...

    Text Solution

    |

  17. The angle of elevation of a top of a tower from a point A due south of...

    Text Solution

    |

  18. A longer side of a parallelogram is 10 cm and the shorter is 6cm. If t...

    Text Solution

    |

  19. A ladder rests against wall at an angle alpha to the harizontal. Its f...

    Text Solution

    |

  20. If the angles of elevation of the top of a tower from three collinear ...

    Text Solution

    |