Home
Class 12
MATHS
A pole of height h stands at one corner ...

A pole of height h stands at one corner of a park of the shape of an equilateral triangle. If `alpha` is the angle which the pole subtends at the mid point of the opposite side, the length of each side of the park is

A

`(sqrt(3)//2) h cot alpha`

B

`(2//sqrt(3)) h cot alpha`

C

`(sqrt(3)//2) h tan alpha`

D

`(2//sqrt(3)) h tan alpha`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|15 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|5 Videos

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|3 Videos

  • ELLIPSE

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos

  • HYPERBOLA

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|8 Videos

Similar Questions

Explore conceptually related problems

A pole of heighth stands at one corner of apark in the shape of an equilateral triangle.Ifa is the angle which the pole subtends at themidpoint of the opposite side,the length of eachside of the park is

A 10 meters high tower is standing at the centre of an equilateral triangle and each side of the triangle subtends an angle of 60^(@) at the top of the tower. Then the length of each side of the triangle is.

Each side of an equilateral triangle is 10 cm long. The height of the triangle is

A 10 meters high tower is standing at the center of an equilateral triangel and each side of the triangle subtends an angle of 60^(@) at the top of the tower. Then the lengthof each side of the triangel is

Find the perimeter of each of the following shapes : An equilateral triangle of side 9 cm.

The side of an equilateral triangle measures 72 cm which is equal to the perimeter of a square shape. What is the length of the side of the square?

Prove that the angle opposite to the equal sides of an equilateral triangle are equal.

MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. A vertical pole subtends an angle tan^-1 (1/2) at apoint P on the grou...

    Text Solution

    |

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

    Text Solution

    |

  3. A pole of height h stands at one corner of a park of the shape of an e...

    Text Solution

    |

  4. Each side of an equilateral triangle subtends an angle of 60^(@) at th...

    Text Solution

    |

  5. A pole of 50 meter high stands on a building 250 m high. To an observe...

    Text Solution

    |

  6. Two vertical poles of height a and b subtend the same angle 45^(@) at ...

    Text Solution

    |

  7. A monument ABCD stands at A on a level ground. At a point P on the gro...

    Text Solution

    |

  8. A vertical tower CP subtends the same angle theta, at point B on the h...

    Text Solution

    |

  9. A man on the ground observes that the angle of elevation of the top of...

    Text Solution

    |

  10. A statue, standing on the top of a pillar 25 m high, subtends an angle...

    Text Solution

    |

  11. A tower BCD surmounted by a spire DE stands on a horizontal plane. At ...

    Text Solution

    |

  12. A lamp post standing at a point A on a circular path of radius r subte...

    Text Solution

    |

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

    Text Solution

    |

  14. From the top of a cliff of height a, the angle of depression of the f...

    Text Solution

    |

  15. A river flows due North, and a tower stands on its left bank. From a p...

    Text Solution

    |

  16. From a point a metres above a lake the angle of elevation of a cloud i...

    Text Solution

    |

  17. A balloon of radious r suntends an angle alpha at the eyes of an obser...

    Text Solution

    |

  18. Two poles of height a and b stand at the centers of two circular plots...

    Text Solution

    |

  19. A tower is standing in the centre of an elliptic field. If Adya observ...

    Text Solution

    |

  20. A tower of height h stands at a point O on the ground. Two poles of he...

    Text Solution

    |