Home
Class 10
MATHS
A constractor plans to install two slide...

A constractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5m, and is inclined at an angle of `30^(@)` to the ground, whereas for elder children, she wants to have a steep slide at a height of 3m, and inclined at an angle of `60^(@)` to the ground. What should be the length of the slide in each case ?

Text Solution

Verified by Experts

The correct Answer is:
`2 sqrt3m`
Promotional Banner

Topper's Solved these Questions

  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Test Your Skills|5 Videos
  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Practice Thoroughly|7 Videos
  • SOME AAPLICATIONS OF TRIGONOMETRY

    KUMAR PRAKASHAN|Exercise Other Important Examples|3 Videos
  • REAL NUMBERS

    KUMAR PRAKASHAN|Exercise TEST YOUR SKILLS|26 Videos
  • STATISTICS

    KUMAR PRAKASHAN|Exercise Objective Questions (True or false)|5 Videos

Similar Questions

Explore conceptually related problems

A contractor wants to set up a slide for the children to play in the park. He wants to set it up at the height of 2 m and by making an angle of 30^(@) with the ground. What should be the length of the slide?

The National policy for children, 2013 recognizes every person as a child below the age of :-

A kite is flying at a height of 75m from the level ground, attached to a taut string inclined at 60^(@) to the horizontal. Then, the length of the string is …………m

A ball is projected at an angle of 30^(@) above with the horizontal from the top of a tower and strikes the ground in 5s at an angle of 45^(@) with the horizontal. Find the height of the tower and the speed with which it was projected.

To draw two tangents to a circle which are inclined at an angle of 60° the perpendiculars are to be drawn at the ends of two radii which are inclined at an angle of ..........

Assertion: Static slides down an inclined plane if the angle of friction is more than the angle of the inclined plane with the horizontal.

Walking 20m on a slope of inclination 30^(@) with the level ground, one reaches 10m above the ground level.

The top of two poles of height 16m and 10m are connected by a wire. If the wire makes an angle of 30^(@) with the horizontal, then its length is……….m

A kite is flying at a height of 60m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60^(@) . Find the length of the string, assuming that there is no slack in the string.

KUMAR PRAKASHAN-SOME AAPLICATIONS OF TRIGONOMETRY-Exercise9.1
  1. A circus artist is climbing a 20m long rope, which is tightly stretche...

    Text Solution

    |

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

    Text Solution

    |

  3. A constractor plans to install two slides for the children to play in ...

    Text Solution

    |

  4. The angle of elevation of the top of a tower from a point on the groun...

    Text Solution

    |

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

    Text Solution

    |

  6. A 1.5m tall boy is standing at some distance from a 30m tall building....

    Text Solution

    |

  7. From a point on the ground, the angles of elevation of the bottom and ...

    Text Solution

    |

  8. A statue, 1.6m tall, stands on the top of a pedestal. From a point on ...

    Text Solution

    |

  9. The angle of elevation of the top of a building from the foot of the t...

    Text Solution

    |

  10. Two poles of equal heights are standing opposite each other on either ...

    Text Solution

    |

  11. A TV tower stands vertically on a bank of a canal. From a point on the...

    Text Solution

    |

  12. From the top of a 7m high building, the angle of elevation of the top ...

    Text Solution

    |

  13. As observed from the top of a 75m high lighthouse from the sea-level, ...

    Text Solution

    |

  14. A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |