Home
Class 11
MATHS
Two pillars are 120 ft a part and the he...

Two pillars are `120` ft a part and the height of one in double that of the other. From the middle point of the line joining their feet an observer finds that the angular elevations of their tops are complementary. The height of the longer tower is ……….. feet.

A

`35sqrt2`

B

`60sqrt2`

C

`50sqrt2`

D

`40sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
D
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

From a point 30 mts from the foot of a tower, the angle of elevation of the top is 30^@ . The height of the tower is………..

These are two towers on a horizontal line. From the mid point of the line joining their feet, the tops of the towers appear at angles of elevation of 60^@ and 30^@ respectively. The first tower has a height of 100 m. The height of the second tower is

The angles of elevation of the tops of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60^@,30^@ respectively. The ratio of the heights of the towers is

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Find the height of the tower

The angles of elevation of a tower from two points which are at distances h_1 and h_2 from the foot of the tower on the same side are complementary. The height of the tower is

The angle of elevation of a tower from two point which are distance h_1 and h_2 from the foot of the tower on the same side are complementary . The height of the tower is

The angle of the elevation of the top of a tower from two points at a distance of 4m and 9m from the base of the tower and in the same straight line with it, are complementary. Prove that the height of the tower is 6m.

A T.V. tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower the angle of elevation of the top of tower is 60^@ . From another point 10 m away from the point, on the line joining the point of the foot of the tower, the angle of elevation of the top of the tower is 30^@ . THe width of the road is......

A TV tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower, the angle of elevation of the top of tower is 60^(@) . From another point 10 m away from this point, on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30^(@) . Find the height of the tower and the width of the road.

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

    |