Home
Class 10
MATHS
The angle of elevation of the top of an ...

The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100 m from its base is `45^(@)`. If the angle of elevation of the top of the complete pillar at the same point is to be `60^(@)`, then the height of the incomplete pillar is to be increased by

A

`50sqrt(2)` metres

B

100 metres

C

`100(sqrt(3)-1)` metres

D

`100(sqrt(3)+1)` metres

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|41 Videos
  • FUNDAMENTALS OF ALGEBRA

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|23 Videos
  • INCOMPLETE FIGURES

    MCGROW HILL PUBLICATION|Exercise EXAMPLE|2 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 50m from its base is 45^(@). If the angle of elevation of the top of the complete pillar the same point is to be 60^(@), then the height of the incomplete pillar is to be increased by

The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100m from its base is 45^@ . IF the angle of elevation of the top of complete pillar at the same point is to be 60^@ then the height of the incomplete pillar is to be increased by

The angle of elevation of the top of an unfinished tower at a distance of 100 m from its base is 45^(@) . How much higher must the tower be raised so that angle of elevation of its top at the same point may be 60^(@) ?

If the angle of elevation of the top of a tower from a point distant 100 m from its base is 45^(@) , then find the height of the tower.

The angle of elevation of the top of a half constructed tower at a distance of 150 m from the base of the tower is 30^(@) . If angle of elevation of top of tower from that point is to be 45^(@) , then by what amount height of the tower be increased ?

The angle of elevation of the top of an unfinished tower at a distance of 120 m from its base is 30^(@) . How much higher must the tower be raised so that the angle of elevation of its top at the same point may be 60^(@) ?

The angle of elevation of the top of a tower from a point 40 m away from its foot is 60^(@) . Find the height of the tower.

The angle of elevation of the top of an unfinished pillar at a point 150 m from its base is 30^@ . If the angle of elevation at the same point is to be 45^@ , then the pillar has to be raised to a height of how many metres?

MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -MULTIPLE CHOICE QUESTIONS
  1. A man on the top of a vertical tower observes a car moving at a unifor...

    Text Solution

    |

  2. The top of a 15 metre high tower makes an angle of elevation of 60o...

    Text Solution

    |

  3. The angle of elevation of the top of an incomplete vertical pillar at ...

    Text Solution

    |

  4. If a flag-staff of 6 m height placed on the top of a tower throws a sh...

    Text Solution

    |

  5. A tree is broken by wind, its upper part touches the ground at a point...

    Text Solution

    |

  6. A man standing on the bank of a river observes that the angle subte...

    Text Solution

    |

  7. From the top of a lighthouse, 100 m high, the angle of depression of ...

    Text Solution

    |

  8. If the height of a pole is 2sqrt(3) metres and the length of its sh...

    Text Solution

    |

  9. A 30 metres long ladder is placed against a wall 15 m high such that i...

    Text Solution

    |

  10. If the angles of elevation of the top of a tower from two points dista...

    Text Solution

    |

  11. Length of the shadow of a person is x when the angle of elevation of t...

    Text Solution

    |

  12. From the top of the cliff 150 m high, the angles of depression of the ...

    Text Solution

    |

  13. The upper part of a tree, broken by the wind makes an angle of 60° wit...

    Text Solution

    |

  14. A man on the top of a tower, standing on the seashore, finds that a...

    Text Solution

    |

  15. A tower subtends an angle alpha at a point A in the plane of its base ...

    Text Solution

    |

  16. A flag staff of 5m high stands on a building of 25m high. At an obse...

    Text Solution

    |

  17. An aeroplane flying at a height 300 metre above the ground passes vert...

    Text Solution

    |

  18. At a point on level ground, the angle of elevation of a vertical to...

    Text Solution

    |

  19. The straight roads intersect at an angle of 60°. A bus on one road is ...

    Text Solution

    |

  20. A flagstaff 10 m high stands at the centre of a equilateral triangle, ...

    Text Solution

    |