Home
Class 11
MATHS
A flag staff of height 10 metres is plac...

A flag staff of height 10 metres is placed on the top of a tower of height 30 metres. At the top of a tower of height 40 metres, the flag staff and the tower subtend equal angles then the distance between the two towers in metres is

A

`10sqrt2`

B

`20sqrt2`

C

`30sqrt2`

D

`40sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
C
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

A flag staff of 5 mts high stands on a building of 25 mt high. At an observer at a height of 30 mt the flag staff and the building subtend equal angles. The distance of the observer from the top of the flag staff is

A player sitting on the top of a tower of height 40m observes the angle of depression of a ball lying on the ground is 60^(@) . The distance between the foot of the tower and ball is…………m.

If a flag staff of 6 mt high placed on the top of a tower throws a shadow of 2sqrt3 mt along the ground then the angle that the Sun makes with the ground is

A tower of height 30 metres casts a shadow of length 40 meters at a certain instant. When the sun's elevation increases by Tan^(-1)"1/7 , the length of the shadow cast by the tower, in meters is

A flag staff of length 'd' stands on tower of height h. IF at a point on the ground the angle of elevation of the tower and top of the flag staff be alpha, beta then h=

A flag staff of the height (a-b) stands on the top of a tower subtends the same angle at the point on the horizontal plalne through the foot of the tower which are at distant a and b from the tower. The height of the tower is

A flag staff of length 10 mt stands on a tower if from a point on the ground , the angle of elevation of the foot and the top of the flagstaff are 45 ^(@) and 75 ^(@) then height of the tower is

The tops of two poles of heights 10 metres and 12 metres are connected by a rope. If the rope makes an angle 30^(@) with the horizontal, the length of the rope in metres is

From the top of a chiff 30 metres high, the angle of elevation of the top of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower 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

    |