Home
Class 12
MATHS
From a window (h m high above the ground...

From a window (h m high above the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side to the street are and 0, respectively. Then, the height of the opposite house is

A

`hcotthetacotphi`

B

`h(cotthetacotphi+1)`

C

`htanthetacotphi`

D

`h(tanthetacotphi+1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HEIGHT AND DISTANCE

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CARCKING EXAM)|18 Videos

  • HCF AND LCM

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER FOR CRACKING EXAM|24 Videos

  • INDICES AND SURDS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER FOR CRACKING EXAM|20 Videos

Similar Questions

Explore conceptually related problems

From a window (h metres high above the ground) of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side of the street are theta and phi respectively. Show that the height of the opposite house is h(1+tan theta cot phi) metres.

From a window 60 m high above the ground of a house in a street, the angle of elevation and depression of the top and the foot of another house on the opposite side of the street are 60^(@) and 45^(@) respectively. Show that the height of opposite house is 60(1+sqrt(3)) metres.

From a window 15m high above the ground in a street,the angle of elevation and depression of the top and foot of another house on the opposite side of the street are 30^(@) and 45^(@) respectively.Then the height of opposite house in meters is

From a window 15m high above the ground in a street,the angle of elevation and depression of the top and foot of another house on the opposite side of the street are 30^(@) and 45^(@) respectively.Then the height of opposite house in meters is

From a window 15 metres high above the ground in a street,the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are 30^(0) and 45^(0) respectively show that the height of the opposite house is 23.66 metres (take sqrt(3)=1.732)

From the top of a house A in a street, the angles of elevation and depression of the top and foot of another house B on the opposite side of the street are 60^(@) and 45^(@) , respectively. If the height of house A is 36 m, then what is the height of house B? (Your answer should be nearest to an Integer.

From a window, 60 metres high above the ground, of a house in a street, the angles of elevation and respectively. Show that the height of the opposite house is 60(sqrt3+1) metres.

A window of a house is h metres above the ground. From the window, the angles of elevation and depression of the top and bottom of another house situated on the opposite side of the lane are found to be alpha and beta respectively. Prove that the height of the house is h(1 + tan alpha cdot tan beta) metres.

The angles of elevation and depression of the top and bottom of a light house from the top of a building 60 m high are 30^(@) and 60^(@) respectively. Find The difference between the height of the light house and the building.

ARIHANT PUBLICATION BIHAR-HEIGHT AND DISTANCE-EXAM BOOSTER (FOR CARCKING EXAM)
  1. At a point 20 m away from the foot of a tower, the angle of elevation ...

    Text Solution

    |

  2. An electric pole is 10m high. A steel wire tied to top of the pole ...

    Text Solution

    |

  3. The angle of elevation of the Moon when the length of the shadow of a ...

    Text Solution

    |

  4. The angle of elevation of a tower from a distance 200 m from its foot ...

    Text Solution

    |

  5. If the length of shadow of a pole on a level ground is twice the lengt...

    Text Solution

    |

  6. The angle of elevation of the top of a hill from the foot of a tower ...

    Text Solution

    |

  7. A person of height 2m wants to get a fruit which is on a pole of heigh...

    Text Solution

    |

  8. A straight highway leads to the foot of a tower of height 50 m. From t...

    Text Solution

    |

  9. From the top of a pillar of height 20 m, theangles of elevation and de...

    Text Solution

    |

  10. From a point A on the ground , the angles of elevation of the top of a...

    Text Solution

    |

  11. A vertical tower stands on a horizontal plane and surmounted by a flag...

    Text Solution

    |

  12. A man on the top of a tower: standing on the seashore: finds that a bo...

    Text Solution

    |

  13. From a window (h m high above the ground) of a house in a street, the ...

    Text Solution

    |

  14. Two persons are 'a' meters apart and the height of one is double that ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. An aeroplane flying horiontally 1 km above the ground is observed at a...

    Text Solution

    |

  18. The angle of elevation of a cloud from a height h above the level of w...

    Text Solution

    |