Home
Class 12
MATHS
A person standing on the bank of a river...

A person standing on the bank of a river observes that the angle subtended by a tree on the opposite of bank is `60^(@)`. When he retires 40 m.from the bank, he finds the angle to be `30^(@)`. What is the breadth of the river ?

A

40 m

B

60 m

C

20 m

D

30 m

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|45 Videos
  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|20 Videos
  • INCREASING AND DECREASING FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos

Similar Questions

Explore conceptually related problems

A person standing on the bank of a river observers that the angle subtends by a tree on the opposite bank is 60^(@) . When he retires 40 feet from the bank, he finds the angle to be 30^(@) . Find the height of the tree and the breadth of the river.

A person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60^0dot When he retreates 20m from the bank, he finds the angle to be 30^0dot Find the height of the tree and the breadth of the river.

A person, standing on the bank of a river, observes that the angle subtended by a tree on the opposite bank is 60^0dot When he retreates 20m from the bank, he finds the angle to be 30^0dot Find the height of the tree and the breadth of the river.

A man standing on the bank of a river observes that the angle of elevation of a tree on the opposite bank is 60^(@) . When he moves 50 m away from the bank, he finds the angle of elevation to be 30^(@) . Calculate : the width of the river and

A man standing on the bank of a river observes that the angle of elevation of a tree on the opposite bank is 60^(@) . When he moves 50 m away from the bank, he finds the angle of elevation to be 30^(@) . Calculate : the height of the tree.

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60^0dot When he move 40 metres away from the bank, he finds the angle of elevation to be 30^0dot Find the height of the tree and the width of the river.

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45^@ , then which of the following statements is correct ?

A statue 8 meters high standing on the top of a tower 64 meters high, on the bank of a river, subtends at a point A on the opposite bank, directly facing the tower, the same angle as subtends at the same point A by man of height 2 meters standing at the base of the tower. Prove that the breadth of the river is 16sqrt(6) meters.

From a point of a bridge across a riuver, the angles of depression of the banks on opposite sides of the river are 30^(@) and 45^(@) , respectively. IF the bridge is at a height of 10 m from the banks, then find the width of the river. (Use sqrt3=1.73 )

A man sitting at a height of 20m on a tall tree on a small island in the middle of a river observes two poles directly opposite to each other on the two banks of the river and in line with the foot of tree. If the angles of depression of the feet of the poles from a point at which the man is sitting on the tree on either side of the river are 60^0a n d30^0 respectively. Find the width of the river.

OBJECTIVE RD SHARMA ENGLISH-HEIGHTS AND DISTANCES-Exercise
  1. The angle of elevation of the top of a tower at any point on the groun...

    Text Solution

    |

  2. Form the top of a light house 60 m high with its base at the sea-level...

    Text Solution

    |

  3. A person standing on the bank of a river observes that the angle subte...

    Text Solution

    |

  4. AB is a vertical pole. The end A is on the level ground .C is the midd...

    Text Solution

    |

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

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

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

    Text Solution

    |

  8. The angle of elevation of the top of a tower standing on a horizontal ...

    Text Solution

    |

  9. From an aeroplane vertically above a straight horizontal road, the ...

    Text Solution

    |

  10. A vertical tower stands on a declivity which is inclined at 15^(@) to ...

    Text Solution

    |

  11. The angle of elevation of an object on a hill from a point on the grou...

    Text Solution

    |

  12. A tower of x metres height has flag staff at its top. The tower and th...

    Text Solution

    |

  13. .A house of height 100 m substends a right angle at the window of an o...

    Text Solution

    |

  14. A tower of height b subtends an angle at a point 0 on the ground level...

    Text Solution

    |

  15. A man of height 6 ft. observes the top of a tower and the foot of th...

    Text Solution

    |

  16. If the elevation of the sun is 30^@ , then the length of the shadow c...

    Text Solution

    |

  17. A ladder rests against a vertical wall at angle alpha to the horizonta...

    Text Solution

    |

  18. From the top of a cliff 300 metres high, the top of a tower was obser...

    Text Solution

    |

  19. The angles of elevation of the top of a tower at the top and the foot ...

    Text Solution

    |

  20. A person standing on the bank of a river finds that the angle of elev...

    Text Solution

    |