Home
Class 10
MATHS
The height of a telephone tower erected ...

The height of a telephone tower erected on a plane is `20(sqrt3+1)`m.When the altitudes of the sun is `30^@` and `45^@`,the lengths of the shadwos of the tower on the plane are x m and y m respectively.Show that x-y=40m.

Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATION OF TRIGONOMETRY

    R G PUBLICATION|Exercise EXERCISE|49 Videos
  • REVISION

    R G PUBLICATION|Exercise EXERCISE|243 Videos
  • STATISTICS

    R G PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

The height of mobile telephone tower erected on a plane is 20(sqrt3+1) m. When the altitudes of the sun is 30^@ and 45^@ ,the lengths of the shadows of the tower on the plane are x m and y m respectively, Show that x-y=40m.

When the altitude of the sun is 30^@ the length of the shadow of a minaret on the ground is 30m .When the altitude of the sun is 60^@ ,find the length of the shadow of the minaret.

The shadow of a tower standing on a level ground is found to be 40m longer when the sun altitude is 30°, then when it is 60° . Find the height of the tower.

The length of the shadow of a 9 m high verticel post is 3sqrt3 m.Find the altitude of the sun.[The altitude of the sun is the angle of elevation of the vertex of the post from the front of the shadow of the post].

Find the length of a shadow of a vertical post of heigth 6m when the angle of elevation of the sun is 30^@

Fom a window 60m high above the ground of a house in a street ,angles of elevation and depression of the top and the foot of another house on the opposite side of the street are 60° and 45° respectively. Show that the height of the opposite house is 60(1+sqrt 3)m

The length of shadow of a tower on the plane ground is sqrt3 times the height of the tower.The angle of elevation of sun is

The angle of elevation of the top of a tower from a point on the ground,which is 30m away from the foot of the tower,is 30^@ .Find the height of the tower.

The distance between two poles of the same height standing on the same plane is 100m.The angles of elevation of the tops of the two poles from a point lying on the line joining the base-points of the poles are found to be 30^@ and 60^@ respectively.Find the heights of the poles and the position of the point.

The height of a tower is 10m.What is the length of its shadow when sun's elevation is 45^@ ?

R G PUBLICATION-SOME APPLICATION OF TRIGONOMETRY-EXERCISE
  1. The height of a telephone tower erected on a plane is 20(sqrt3+1)m.Whe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. A contractor plans to install two slides for the children to play in a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. A 1.5 m tall boy is standing at some distance from a 30 m tall buildin...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Find the length of a shadow of a vertical post of heigth 6m when the a...

    Text Solution

    |

  19. Find the angle of elevation of then sun when the ratio of the length o...

    Text Solution

    |

  20. Find the angle of elevation of the sun when the ratio of the length of...

    Text Solution

    |

  21. The height of a tower is 10m.What is the length of its shadow when sun...

    Text Solution

    |