Home
Class 10
MATHS
A moving boat is observed from the top o...

A moving boat is observed from the top of a 150 m high cliff moving away from it. The angle of depressioin of the boat changes from `60^@` to `45^@` in 2 minutes. Find the speed of the boat in 'm' min.

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    AGRAWAL PUBLICATION|Exercise EXAMPLE|70 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    AGRAWAL PUBLICATION|Exercise EXAMPLE|54 Videos

Similar Questions

Explore conceptually related problems

A moving boat is observed from the top of a 150 m high cliff moving away from the cliff. The angle of depression of the boat changes from 60^(@) to 45^(@) in 2 minutes.Find the speed of the boat in m/h.

A boat is being rowed away from a cliff 150 meter high. At the top of the cliff the angle of depression of the boat changes from 60^(@) to 45^(@) in 2 minutes. Find the speed of the boat.

A man observes a car from the top of a tower, which is moving towards the tower with a uniform speed. If the angle of depression of the car change from 30^(@)" and "45^(@) in 12 minutes, find the time taken by the car now toreach the tower.

From the top of a 50m high tower,the angles of depression of the top and bottom of a pole are observed to be 45o and 60o respectively. Find the height of the pole.

A man in a boat rowed away from a cliff 150 m high takes 2 min, to change the angle from 60^(@) to 45^(@) . The speed of the boat is

A man in a boat rowing away from a light house 100 m high takes 2 minutes to change the angle of elevation of the top of the light house from 60° to 30°. Find the speed of the boat in meters per minute. [Use sqrt(3) = 1.732 )

From the top of a cliff, 200m high, the angle of depression of the top and bottom of a tower are observed to be 30^(@) and 60^(@) , find the height of the tower.

AGRAWAL PUBLICATION-INTRODUCTION TO TRIGNOMETRY AND ITS APPLICATIONS-EXAMPLE
  1. Prove that: [(1 + cot theta + tan theta)(sin theta - cos theta)]/(sec^...

    Text Solution

    |

  2. If sec theta + tan theta = m, show that (m^2 - 1)/(m^2 + 1)= sin theta...

    Text Solution

    |

  3. A moving boat is observed from the top of a 150 m high cliff moving aw...

    Text Solution

    |

  4. A ladder rests against a vertical wall at an inclination alpha to the ...

    Text Solution

    |

  5. There are two poles, one each on either bank of a river just opposite ...

    Text Solution

    |

  6. Amit, standing on a horizontal plane, finds a bird flying at a distanc...

    Text Solution

    |

  7. Prove that: (tan theta)/(1 - cot theta) + (cot theta)/(1 - tan theta) ...

    Text Solution

    |

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

    Text Solution

    |

  9. Prove that: (sin theta)/(cot theta + cosec theta) = 2 + (sin theta)/(c...

    Text Solution

    |

  10. Prove that (sin A - cos A + 1)/(sin A + cos A - 1) = 1 /(sec A - tan A...

    Text Solution

    |

  11. A man in a boat rowing away form a light house 100 m hight takes 2 min...

    Text Solution

    |

  12. Two poles of equal heights are standing opposite each other on either ...

    Text Solution

    |

  13. The shadow of a tower at a time is three times as long as its shadow w...

    Text Solution

    |

  14. Prove that: (sin A - 2sin^3 A )/(2 cos^3 A - cos A) = tan A

    Text Solution

    |

  15. A straight highway leads to the foot of a tower. A man standing on its...

    Text Solution

    |

  16. The angle of elevation of a cloud from a point 60 m above the surface ...

    Text Solution

    |

  17. From a point P on the ground, the angles of elevation of the top of a ...

    Text Solution

    |

  18. A 1.6 m tall boy is standing at some distance from a 40 m tall buildin...

    Text Solution

    |

  19. From the top of a 120 m high tower,a man observes two cars on the oppo...

    Text Solution

    |

  20. A vertical tower stands on a horizontal plane and its surmounted by a ...

    Text Solution

    |