Home
Class 14
MATHS
A boat is moving away from an observatio...

A boat is moving away from an observation tower .It makes an angle of depression of `30^(@)` with an observer 's eye when at a distance of 50 metre from the tower . After 8 seconds ,the angle of depression becomes `60^(@)` .By as - suming that it is running in still water , the approximate speed of the boat is :

A

`( 45 00)/( sqrt3)`

B

`( 45 00 ( sqrt3 -1))/( sqrt3)`

C

`45 00 sqrt3`

D

` ( 4500 ( sqrt3 +1 ))/( sqrt3 )`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHT & DISTANCE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |37 Videos
  • FUNCTIONS

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |74 Videos
  • INTEGRATION

    PUNEET DOGRA|Exercise Prev year questions|48 Videos

Similar Questions

Explore conceptually related problems

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45o with the mans eye when at a distance of 60 metres from the tower. After 5 seconds, the angle of depression becomes 30o . What is the approximate speed of the boat, assuming that it is running in still water? (a) 32 kmph (b) 36 kmph (c) 38 kmph (d) 40 kmph (d) 42 kmph

A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man's eye when at a distance of 60 m from the bottom of tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat assuming that it is running in still water ?

The angle of depression of a point situated at a distance of 70 metres from the base of a tower is 45^@ . The height of the tower is

If the angle of depression of an object from a 75 m high tower is 30^@ , then the distance of the object from the tower is

The angle of depression of a point situated at a distance of 70 m from the base of a tower is 60^(@) .The height of the tower is :

The angle of depression of a point from the top of a 200 m high tower is 45^@ . The distance of the point from the tower is

From the top of a tower,the angle of depression of a point P on the ground is 30^(@) . If the distance of the point P from the tower be 24 meters then height of the tower is

PUNEET DOGRA-HEIGHT & DISTANCE -PREV YEAR QUESTIONS
  1. From the top of a lighthouse. 100 m high, the angle of depression of ...

    Text Solution

    |

  2. The top of a hill when observed from the top and bottom of a building ...

    Text Solution

    |

  3. A boat is moving away from an observation tower .It makes an angle of ...

    Text Solution

    |

  4. Two poles are 10 m and 20 m high. The line joining their tops makes an...

    Text Solution

    |

  5. A vertical tower standing on a leveled field is mounted with a vertica...

    Text Solution

    |

  6. The angle of elevation of the top of a tower from a point 20 m away fr...

    Text Solution

    |

  7. The angles of elevation of the top of a tower standing on a horizontal...

    Text Solution

    |

  8. A lamp post stands on a horizontal plane. From a point situated at a d...

    Text Solution

    |

  9. From an aeroplane above a straight road the angles of depression of tw...

    Text Solution

    |

  10. If the angles of elevation of the top of a tower from two places situa...

    Text Solution

    |

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

    Text Solution

    |

  12. The angle of elevation of the top of a tower of height H from the foot...

    Text Solution

    |

  13. A man walks 10 m towards a lamp post and notices that the angle of ele...

    Text Solution

    |

  14. The shadow of a tower standing on a level plane is found to be 50 m lo...

    Text Solution

    |

  15. The top of a hill observed from the top and bottom of a building of he...

    Text Solution

    |

  16. From the top of a lighthouse 70 m high with its base at sea level, the...

    Text Solution

    |

  17. Two poles are 10 m and 20 m high. The line joining their tips makes an...

    Text Solution

    |

  18. The angle of elevation of a tower at a level ground is 30^(@). The ang...

    Text Solution

    |

  19. From the top of a building of height h m, the angle of depression of a...

    Text Solution

    |

  20. The angle of elevation of the top of a lower at a distance of 25 m fro...

    Text Solution

    |