Home
Class 11
MATHS
A ballon is observed simultaneously from...

A ballon is observed simultaneously from the 3 points A,B,C on a staight road dirctly beneath it. The angles elevation at B is twice that at A and the angular elevation on at C is thrice that at A. If AB = 20, BC = 40 then the height of the ballon is

A

`3sqrt(15)`

B

`5sqrt(15)`

C

`8sqrt(15)`

D

`15sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-I) (Straight Objective Type Questions)|39 Videos
  • HEIGHTS AND DISTANCES

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

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

The angles of elevation of a cliff at a point A on the ground and at a point B, 100 mt vertically at A are alpha and beta respectively. The height of the cliff in mt is

AB is vertical pole with B at ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^(@) . He moves away from the pole along the line BC to a point D such that CD =7 m. From D the angle of elevation of the point A is 45^(@) then the hight of the pole is

The angle of elevation of tower at a point 40m apart form it is cot^(-1)(3/5) . Obtain the height of the tower.

The sum of angles of elevation of the top of a tower from two points distance a and b from the base and in the same straight line with it is 90^@ . Then the height of the tower is :

A sperical balloon of radius r subtends an angle alpha at the eye of an observer, while the angle of elevation of its centre is beta . The height of the centre of the ballon is

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

A boy observed the top of an electrical pole to be at angle of elevation of 60^(@) when the observation point is 8m away from the foot of the pole then the height of the pole is……….m.

A boy observed the top of an electric pole at an angle of elevation of 60^(@) when the observation point is 8 meters away from the foot of the pole. Find the height of the pole.

The angle of elevation of the top of the top of a vertical tower from a point A, due east of it is 45^(@) . The angle of elevation of the top of the same tower from a point B, due south of A is 30^(@) . If the distance between A and B is 54sqrt2m , then the height of the tower (in meters), is

AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET Exercise-I (Straight Objective Type Questions)
  1. From the top of a cliff x mts heigh, the angle of depression of the fo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A ballon is observed simultaneously from the 3 points A,B,C on a staig...

    Text Solution

    |

  5. At the foot of the mountain the elevation of its summit is 45^(@) Afte...

    Text Solution

    |

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

    Text Solution

    |

  7. The upper 3//4th portion of a vertical pole subteds pole subteds an an...

    Text Solution

    |

  8. A tower MPQ surmounted by a spiral QR stands on a harzontal plane. At ...

    Text Solution

    |

  9. On one side of a road of width 'd' meters there is a points of observa...

    Text Solution

    |

  10. A flag staff of 5 mts high stands on a building of 25 mt high. At an o...

    Text Solution

    |

  11. There are two stations P,Q due north, due south of a tower of height 1...

    Text Solution

    |

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

    Text Solution

    |

  13. A man is walking towards a vertical pillar in a straight path, at a un...

    Text Solution

    |

  14. A bird is sitting on the top of a vertical pole 20 m high and its elev...

    Text Solution

    |

  15. A tower stands at the center 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. The angle of elevation of the top of the top of a vertical tower from...

    Text Solution

    |

  20. Let 10 vertical poles standing at equal distances on a straight line, ...

    Text Solution

    |