Home
Class 11
MATHS
A horse is tied to a post by a rope. If ...

A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describe 88 metres when it has tracted out `72^@` at the centre,find the length of the rope.

Text Solution

Verified by Experts

The correct Answer is:
70 meters
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.1|12 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.2|11 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.12|20 Videos

  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

A horse runs along a circle with a speed of 20k m//h . A lantern is at the centre of the circle. A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8 of the circle in km/h.

A man has fallen into a ditch of width d and two of his friends are slowly pulling him out using a light rope and two fixed pulleys as shown in figure. Show that the force (assumed equal for both the friends) exerted by each friend on the road increases as the man moves up. Find the force when theman is at a depth h.

FULL MARKS-TRIGONOMETRY-Additional Questions Solved
  1. The angle of a quadrilateral are in A.P. and the greatest angle is 120...

    Text Solution

    |

  2. A railroad curve is to be laid on a circle. What radius should be used...

    Text Solution

    |

  3. A horse is tied to a post by a rope. If the horse moves along a circul...

    Text Solution

    |

  4. A circular wire of radius 3 cm is out bent so as to lie along the circ...

    Text Solution

    |

  5. Let alpha, beta" such that "pi lt alpha-beta lt 3pi." If sin "alpha+si...

    Text Solution

    |

  6. Prove that sin 600^(@)* tan (-690^(@))+sec 840^(@)*cot(-945^(@))=3/2

    Text Solution

    |

  7. Prove that sin (270^(@)-theta) sin (90^(@)-theta)-cos(270^(@)-theta) c...

    Text Solution

    |

  8. Prove that cos 24^(@)+cos 55^(@)+cos 125^(@)+cos 204^(@)+cos 300^(@)=1...

    Text Solution

    |

  9. Prove that cos^(2)""pi/8+cos^(2) ""(3pi)/(8)+cos^(2)""(5pi)/(8)+cos^(2...

    Text Solution

    |

  10. Prove that [1+cot alpha-sec(alpha+pi/2)] [1+cot alpha+sec (alpha+pi/2)...

    Text Solution

    |

  11. Write the general form for tantheta

    Text Solution

    |

  12. Simplify (cos(90^@+theta)sec (-theta)tan(180^(@)-theta))/(sec(360^(@)-...

    Text Solution

    |

  13. Find x from the equation cosec (90^(@)+A)+x cos A cot (90^(@)+A)=sin(9...

    Text Solution

    |

  14. Prove that sin (A+B) sin (A-B)=cos^(2) B-cos^(2) A

    Text Solution

    |

  15. Prove that (i) sin A+sin (120^(@)+A)+sin(240^(@)+A)=0 (ii) cos A+c...

    Text Solution

    |

  16. If tan A=5/6, tan B=1/11," show that A+B=45"^(@).

    Text Solution

    |

  17. If A+B=45^(@)," show that "(1+tan A) (1+tan B)=2 and hence deduce the ...

    Text Solution

    |

  18. If tanalpha=1/3,tanbeta=1/7,show that 2alpha +beta=pi/4

    Text Solution

    |

  19. If 2 cos theta=x+1/x then prove that cos 2 theta=1/2 (x^(2)+1/x^(2))

    Text Solution

    |

  20. Prove that cos 20^(@) cos 40^(@) cos 80^(@)=1/8

    Text Solution

    |