Home
Class 10
MATHS
A vertical tower sands on a horizontal p...

A vertical tower sands on a horizontal plane and is surmounted by a vertical flag staff of height `hdot` At a point on the plane, the angles of elevation of the bottom and the top of the flagstaff are `alpha` and `beta` .Prove that the height of the tower `(htanalpha)/(tanbeta-tanalpha)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos
  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos

Similar Questions

Explore conceptually related problems

A vertical tower Stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angles of Elevation of the bottom and the top of the flag staff are alpha and beta respectively Prove that the height of the tower is (htanalpha)/(tanbeta - tanalpha)

A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height h. At a point on the plane, the angles of Elevation of the bottom and the top of the flag staff are alpha and beta respectively. Prove that the height of the tower is (htanalpha)/(tanbeta - tanalpha)

A vertical tower sands on a horizontal plane and is surmounted by a vertical flag staff of height hdot At a point on the plane, the angles of elevation of the bottom and the top of the flag are beta and alpha . then height of tower equal to

A vertical tower stand on a horizontal plane and is surmounted by a vertical flag-staff of height 5 metres. At a point on the plane, the angles of elevation of the bottom and the top of the flag-staff are respectively 30^0 and 60^0 . Find the height of the tower.

A vertical tower stands on a horizontal plane and is surmounted by a flag-staff of height 7m. From a point on the plane, the angle of elevation of the bottom of the flag-staff is 30o and that of the top of the flag-staff is 45o . Find the height of the tower.

From te top of a tower , 60 meters high, the angles of depression of the top and bottom of a pole are alpha and beta respectively .Find the height of the pole.

A 7 m long flagstaff is fixed on the top of a tower on the horizontal plane. From a point on the ground, the angles of elevation of the top and bottom of the flagstaff are 45^(@)" and " 30^(@) respectively. Find the height of the tower.

At a point on a level plane subtends an angle theta and flag staff of height a at the top of the tower subtends an angle phi . Find the height of the tower.

A tower subtends an angle alpha at a point A in the plane of its base and the angle of depression of the foot of the tower at a point b metres just above A is beta . Prove that the height of the tower is btanalphacotbeta .

The angle of elevation of the top of a tower as observed from a point on the ground is 'a' and on moving 'a' metre towards the tower, the angle of elevation is 'beta' Prove that the height of the tower is : (a tan alphatanbeta)/(tanbeta-tanalpha)

RD SHARMA ENGLISH-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
  1. A round balloon of radius r subtends an angle at the eye of the observ...

    Text Solution

    |

  2. A tree 12m high, a broken by the wind in such a way that its top to...

    Text Solution

    |

  3. A vertical tower sands on a horizontal plane and is surmounted by a ...

    Text Solution

    |

  4. The angles of elevation of the top of a tower from two points at a dis...

    Text Solution

    |

  5. A tree breaks due to storm and the broken part bends so that the top o...

    Text Solution

    |

  6. A circus artists is climbing a 20m long rope, which is tightly stre...

    Text Solution

    |

  7. A tree standing on horizontal plane is leaning towards east. At two po...

    Text Solution

    |

  8. A person, standing on the bank of a river, observes that the angle sub...

    Text Solution

    |

  9. A bridge across a river makes an angles of 45^0 with the river bank as...

    Text Solution

    |

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

    Text Solution

    |

  11. If the angle of elevation of a cloud from a point h metres above a lak...

    Text Solution

    |

  12. From the top of a hill, the angles of depression of two consecutive ...

    Text Solution

    |

  13. The shadow of a vertical tower on level ground increases by 10 metres,...

    Text Solution

    |

  14. A tower is 100sqrt(3) metres high. Find the angle of elevation if i...

    Text Solution

    |

  15. The angle of elevation of the top of a tower from a point on the gro...

    Text Solution

    |

  16. A kite is flying at a height of 60m above the ground. The string att...

    Text Solution

    |

  17. The string of a kite is 100 metres long and it makes an angle of 60...

    Text Solution

    |

  18. A circus artist is climbing from the ground along a rope stretched f...

    Text Solution

    |

  19. An observer 1.5 m tall is 28.5 m away from a chimney. The angle of e...

    Text Solution

    |

  20. An electrician has to repair an electric fault on a pole of height 4...

    Text Solution

    |