Home
Class 10
MATHS
A man standing on the deck of a ship, wh...

A man standing on the deck of a ship, which is 10 m above water level, observes the angle of elevation of the top of a hill as `60^@` and the angle of depression the base of hill as `30^@`. Find the distance of the hill from the ship and the height of the hill.

Text Solution

Verified by Experts

The correct Answer is:
`40m, 10sqrt(3)m`
Promotional Banner

Topper's Solved these Questions

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( LONG ANSWER QUESTIONS II)|11 Videos
  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise SELF ASSESSMENT TEST|11 Videos
  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( SHORT ANSWER QUESTIONS I)|10 Videos
  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos
  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

A man standing on the deck of a ship,which is 10 m above water level.He observes the angle of elevation of the top of a hill as 60and the angle of depression of the base of the hill as 30^(@). Calculate the distance of the hill from the ship and the height of the hill.

A man is standing on the deck of a ship, which is 8m above water level. He observes the angle of elevation of the top of a hill as 60^@ and the angle of depression of the base of the hill as 30^@ . Calculate the distance of the hill from the ship and the height of the hill

A man standing on the deck of a ship,which is 8m above water level.He observes the angle of elevation of the top of a hill as 60o and the angle of depression of the base of the hill as 30o. Calculate the distance of the hill from the ship and the height of the hill.

A man on the deck of a ship 12 m above water level, observes that the angle of elevation of the top of a cliff is 60^(@) and the angle of depression of the base of the is 30^(@) . Find the distance of the cliff from the ship and the height of the cliff. [use sqrt(3)=1.732 )

A man on the deck of a ship is 10m above the water level.He observes that the angle of elevation of the top of a cliff is 45o and the angle of depression of the base is 30o . Calculate the distance of the cliff from the ship and the height of the cliff.

From a point 12 m above the water level, the angle of elevation of the top of a hill is 60^(@) and the angle of depression of the base of the hill is 30^(@) . What is the height (in m)of the hill?

A man on the deck of a ship, 16 m above water level, observes that the angles of elevation and depression repectively of the top and bottom of a cliff are 60^(@) and 30^(@) . Calculate the distance of the cliff from the and height of the cliff.

From the top of a 7m high building,the angle of elevation of the top of a tower is 60 and the angle of depression of the foot of the tower is 30. Find the height of the tower.

A man standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is 60^(@) . The angle of elevation is 30^(@) from a point at a distance y m from the bank of the river. What is the height of the tree ?

VK GLOBAL PUBLICATION-HEIGHT AND DISTANCE-PROFICIENCY EXERCISE ( SHORT ANSWER QUESTIONS II)
  1. The length of a string between a kite and a point on the ground is 90 ...

    Text Solution

    |

  2. The angle of elevation of the top of a vertical tower a point on the g...

    Text Solution

    |

  3. A man standing on the deck of a ship, which is 10 m above water level,...

    Text Solution

    |

  4. The angles of depression of the and bottom of a 50 m high building fro...

    Text Solution

    |

  5. The angles of depression of the top and bottom of a building 50 metres...

    Text Solution

    |

  6. A vertical tower Stands on a horizontal plane and is surmounted by a v...

    Text Solution

    |

  7. The angle of elevation of the top of a tower 30 m high from the foot o...

    Text Solution

    |

  8. A man on the top of a vertical tower observes a car moving at a unifor...

    Text Solution

    |

  9. From the top of a tower h m high, angles of depression of two objects,...

    Text Solution

    |

  10. A ladder rests against a vertical wall at inclination alpha to the hor...

    Text Solution

    |

  11. The lower window of a house is at a height of 2m above the ground and ...

    Text Solution

    |

  12. A window of a house is h metres above the ground. From the window, the...

    Text Solution

    |

  13. As observed from the top of a light house, 100m above sea level, th...

    Text Solution

    |

  14. The angle of elevation of a jet plane from a point A on the grund is 6...

    Text Solution

    |

  15. An aeroplane when flying at a height of 4000m from the ground passes ...

    Text Solution

    |

  16. On a horizontal plane there is a vertical tower with a flag pole on th...

    Text Solution

    |

  17. The angle of elevation of the top of a tower as observed from a point ...

    Text Solution

    |

  18. The angle of elevation of a tower from a point on the same level as th...

    Text Solution

    |

  19. The angle of elevation of the top of a tower from a point A on the ...

    Text Solution

    |

  20. From the top of a building 15m high the angle of elevation of the top ...

    Text Solution

    |