Home
Class 10
MATHS
From the top of a light house, the angle...

From the top of a light house, the angles of depression of two ships on the opposite sides of its are observed to be `alphaa n dbeta` . If the height of the light house be h metres and the line joining the ships passes through the foot of the light house, show that the distance between the ship is `h(tanalpha+tanbeta)/(tanalphat a nbeta)`

Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (short Answer Questions)|5 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise (long Answer Questions)|1 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Long Answer Questions|5 Videos

  • REAL NUMBERS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|5 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

Similar Questions

Explore conceptually related problems

From the top of a light house, the angles of depression of two stations on opposite sides of it at a distance a apart are alpha and beta . Find the height of the light house.

From a light house the angles of depression of two ships on opposite sides of the light house are observed to be 30^@ and 45^@ If the height of the light house is h metres, the distance between the ships is

From the top of a light-hours, the angles of depression of two ships on the opposite sides are observed to be 30^(@)" and "45^(@) . If the height of the light-house, is 90 m and the line joining the two ships passes through the light- house, then find the distance between the ships.

As observed from the top of a 75m tall light house, the angles of depression of two ships are 30^@ and 45^@ . If one ship is exactly behind the other on the same side of the light house, find the distance between the two ships.

From the top of a 75m high lighthouse from the sea level the angles of depression of two ships are 30^@ and 45^@ . If the two ships are on the opposite sides of the light house then find the distance between the two ships.

The height of a light house is 40 m. The angle of depression of a ship from the top of the light house is 60^(@) . Find the distance of ship from the light house.

The angles of depression of two ships a A and B as observed from the top of a light house 60 m high are 60^(@)and45^(@) respectively. If the two ships are on the opposite sides of the light house, find the distance between the two ships. Give your answer correct to the nearest whole number.

From the top of a light house 100 m high, t he angles of depression of two ships are observed as 48^(@) and 36^(@) respectively. Find the distance between the two ships (in the nearest metre ) if : the ships are on the same side of the light house.

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30° and 45° respectively. If the lighthouse is 100 m high, the distance between the two ships is:

As observed from the top of a 150 m tall light house, the angles of depression of two ships approaching it are 30^@ and 45^@ . If one ship is directly behind the other, find the distance between the two ships.

NAGEEN PRAKASHAN ENGLISH-SOME APPLICATIONS OF TRIGONOMETRY-Exercise
  1. The angle of elevation of the top of a tower from a point on the groun...

    Text Solution

    |

  2. There are two points on the horizontal line passing through the foot o...

    Text Solution

    |

  3. From the top of a light house, the angles of depression of two ships o...

    Text Solution

    |

  4. From the top of a light-hours, the angles of depression of two ships o...

    Text Solution

    |

  5. An aeroplane, when 3000 m high, passes vertically above anthoer aeropl...

    Text Solution

    |

  6. The angle of elevation of the top of am incomplete temple, at a point ...

    Text Solution

    |

  7. The angle of elevation of the top of an incomplete tower, at a point 4...

    Text Solution

    |

  8. On a straight line passing through the foot of a tower, two points C a...

    Text Solution

    |

  9. The angle of elevation of the top of a tower from the foot of a house,...

    Text Solution

    |

  10. There is a 7m high statue standing on a cliff. At a point P on the gro...

    Text Solution

    |

  11. The distance between two towers is 140 m while seeing from the top if ...

    Text Solution

    |

  12. A temple and a flagstaff surmounted at its top, each subtends equal an...

    Text Solution

    |

  13. A 7 m long flagstaff is fixed on the top of a tower on the horizontal...

    Text Solution

    |

  14. At one side of a road, there os a house and on the other side there is...

    Text Solution

    |

  15. A tower subtends an angle of 60^(@) at a point on the plane passing th...

    Text Solution

    |

  16. An aeroplane is flying over two houses which are at a distance of 300 ...

    Text Solution

    |

  17. From the top of a 96 m tower, the angles of depression of two cars, on...

    Text Solution

    |

  18. The angle of elevation of the top of a vertical tower, from a point in...

    Text Solution

    |

  19. The upper part of a tree broken over by the wind makes an angle of 60^...

    Text Solution

    |

  20. From a boat, which is moving towards a bridge, the angle of elevation ...

    Text Solution

    |