Home
Class 10
MATHS
A ladder rests against a wall at an angl...

A ladder rests against a wall at an angle `alpha` to the horizontal. Its foot is pulled away from the wall through a distance 'a' so that it slides a distance 'b' down the wall making an angle `beta` with the horizontal. Show that: `a=b tan(1/2(α+β))`.

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 ladder rests against a vertical wall at angle alpha to the horizontal . If is foot is pulled away from the wall through a distance 'a' so that it slides a distance 'b' down the wall making the angle beta with the horizontal , then a =

A ladder rest against a wall making an angle alpha with the horizontal. The foot of the ladder is pulled away from the wall through a distance x , so that it slides a distance y down the wall making an angle beta with the horizontal. THEN x=

A ladder rest against a wall making an angle alpha with the horizontal. The foot of the ladder is pulled away from the wall through a distance x , so that it slides a distance y down the wall making an angle beta with the horizontal. Prove that x=ytan(alpha+beta)/2dot

A ladder rests against a vertical wall at an angle alpha to the horizontal. If the foot is pulled away through a distance 2m, then it slides a distance 5 m down the wall, finally making an angle beta with the horizontal. The value of tan((alpha+beta)/(2)) is equal to

A ladder rests against a vertical wall at inclination alpha to the horizontal. Its foot is pulled away from the wall through a distance p so that it's upper end slides q down the wall and then ladder make an angle beta to the horizontal show that p/q = ( cos beta - cos alpha)/(sin alpha - sin beta) .

A ladder rests against a vertical wall at inclination alpha to the horizontal. Its foot is pulled away from the wall through a distance p so that it's upper end slides q down the wall and then ladder make an angle beta to the horizontal show that p/q = ( cos beta - cos alpha)/(sin alpha - sin beta) .

A ladder leaning against a wall makes an angle of 60° with the horizontal. If the foot of the ladder is 2.5 m away from the wall, find the length of the ladder.

A ball is projected at t = 0 with velocity v_0 at angle theta with horizontal. It strikes a smooth wall at a distance from it and then falls at a distance d from the wall. Coefficient of restitution is 'e' then :

A ladder 3.7 m long is placed against a wall in such a way that the foot of the ladder is 1.2 m away from the wall. Find the height of the wall to which the ladder reaches.

A 13 m long ladder is leaning against a wall, touching the wall at a certain height from the ground level. The bottom of the ladder is pulled away from the wall, along the ground, at the rate of 2 m/s. How fast is the height on the wall decreasing when the foot of the ladder is 5 m away from the wall ?

RD SHARMA ENGLISH-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
  1. Two stations due south of a leaning tower which leans towards the nort...

    Text Solution

    |

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

    Text Solution

    |

  3. A ladder rests against a wall at an angle alpha to the horizontal. It...

    Text Solution

    |

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

    Text Solution

    |

  5. The horizontal distance between two towers is 140 mdot The angle of el...

    Text Solution

    |

  6. A tower stands vertically on the ground. From a point on the ground...

    Text Solution

    |

  7. The length of shadow of a tower on the plane ground is sqrt(3) times t...

    Text Solution

    |

  8. Two poles are a metres apart and the height of one is double of the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. A ladder 15 m long just reaches the top of a vertical wall. If the ...

    Text Solution

    |

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

    Text Solution

    |

  16. A vertical tower stand on a horizontal plane and is surmounted by a ...

    Text Solution

    |

  17. A vertical tower stands on a horizontal plane and is surmounted by a v...

    Text Solution

    |

  18. The length of a string between a kite and a point on the ground is 90 ...

    Text Solution

    |

  19. A straight highway leads to the foot of a tower. A man standing at ...

    Text Solution

    |

  20. A 1.2 m tall girl spots a balloon moving with the wind in a horizont...

    Text Solution

    |