Home
Class 10
MATHS
A circus artist is climbing a 20m long r...

A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is `30^(@)` ( see figure ).

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (III)|17 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED|25 Videos

  • STATISTICS AND PROBABILITY

    FULL MARKS|Exercise Additional question solved|65 Videos

Similar Questions

Explore conceptually related problems

Two poles of heights 18 meter and 7 meter are erected on a ground. The length of the wire fastened at their tops in 22 meter. Find the angle made by the wire with the horizontal.

Some portion of a 20 meters long tree is broken by the wind and its top struck the ground at an angle of 30 ^@ .Find the height of the point where the tree is broken.

The angle elevation of the top of a tower from a point C on the ground. Which is 30 m away from the foot of the tower is 30^(@) . Find the height of the tower.

Two vertical poles of heights 6 m and 3 m are erected above a horizontal ground AC. Find the value of y.

Find the angle of elevation of the top of a tower from a point on the ground, which is 30 m away the foot of a tower of height 10sqrt(3) m.

A ramp for unloading a moving truck, has an angle of elevation of 30^(@) . If the top of the ramp is 0.9m above the ground level, then find the length of the ramp.

FULL MARKS-TRIGONOMETRY-ADDITIONAL QUESTIONS SOLVED (II)
  1. Prove that : sec^(2)theta+"cosec"^(2)theta=sec^(2)theta*"cosec" ^(2)t...

    Text Solution

    |

  2. Prove that sintheta/(1-costheta)=cosectheta+cot theta

    Text Solution

    |

  3. Prove that sectheta(1-sintheta)(sectheta+tantheta)=1

    Text Solution

    |

  4. Prove that (sintheta)/(cosectheta+cottheta)=1-costheta

    Text Solution

    |

  5. Prove that identity (sintheta)/(cosectheta)+costheta/sectheta=1

    Text Solution

    |

  6. Prove that identity sqrt((1-costheta)/(1+costheta))=cosectheta-cotthet...

    Text Solution

    |

  7. Prove that identity [cosec(90^(@)-theta)-sin(90^(@)-theta)][cosectheta...

    Text Solution

    |

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

    Text Solution

    |

  9. Find the angle of elevation of the top of a tower from a point on the ...

    Text Solution

    |

  10. A ramp for unloading a moving truck, has an angle of elevation of 30^(...

    Text Solution

    |

  11. A girl of height 150cm stands in front of a lamp-post and casts a shad...

    Text Solution

    |

  12. Prove that sqrt(cot^(2)theta-cos^(2)theta)=cottheta.costheta

    Text Solution

    |

  13. Prove that (1+sintheta)/costheta+costheta/(1+sintheta)=2sectheta

    Text Solution

    |

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

    Text Solution

    |

  15. If sintheta=x and sectheta=y then find the value of cottheta

    Text Solution

    |

  16. A circus artist is climbing a 20m long rope, which is tightly stretche...

    Text Solution

    |

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

    Text Solution

    |

  18. Prove that sin^(6)theta+cos^(6)theta+3sin^(2)thetacos^(2)theta=1

    Text Solution

    |