Home
Class 10
MATHS
The shadow of a vertical tower on level ...

The shadow of a vertical tower on level ground increases by 10 metres, when the altitude of the sun changes from angle of elevatin `45^0to30^0dot` Find the height of the tower, correct to one place of decimal. `(T a k esqrt(3)=1. 73`

Text Solution

AI Generated Solution

To solve the problem, we need to find the height of the tower based on the change in the shadow length when the angle of elevation of the sun changes from \(45^\circ\) to \(30^\circ\). ### Step 1: Understand the problem We have a vertical tower, and we know that when the angle of elevation of the sun changes from \(45^\circ\) to \(30^\circ\), the shadow of the tower increases by \(10\) meters. We need to find the height of the tower. ### Step 2: Set up the equations Let \(h\) be the height of the tower and \(x\) be the length of the shadow when the angle of elevation is \(30^\circ\). ...
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos
  • STATISTICS

    RD SHARMA|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

The shadow of a vertical tower on level ground increases by 10 m when the altitude of the sun changes from 45^(@) to 30^(@) . Find the height of the tower.

The shadow of a vertical tower becomes 30 metres longer when the altitude of the sun changes from 60^(@)"to"45^(@) .find the height of the tower .

The length of the shadow of the vertical tower on level ground increases by 10m when the altitude of the sun changes from 45^@ to 30^@ .The height of the tower is: समतल भूमि पर खड़ी मीनार की छाया की लंबाई 10 मीटर तक बढ़ जाती है जब सूर्य की ऊँचाई 45^@ से 30^@ तक बदल जाती है। टॉवर की ऊंचाई है:

The shadow of a tower,when the angle of elevation of the sum is 45^(@) , is found to be 10 metres longer than when the angle of elevation, when 60^(@). Find the height of the tower.

The shadow of a tower standing on a level ground is found to be 20 m longer when the sun's altitude is 45^(@) than when it is 60^(@) .Find the height of the tower .

The shadow of a tower is found to be x metre longer, when the angle of elevation of the sun changes from 60^(@) to 45^(@) . If the height of the tower is 5(3+sqrt(3)) m, then what is x equal to ?

RD SHARMA-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
  1. If the angle of elevation of a cloud from a point h metres above a lak...

    Text Solution

    |

  2. From the top of a hill, the angles of depression of two consecutive ...

    Text Solution

    |

  3. The shadow of a vertical tower on level ground increases by 10 metres,...

    Text Solution

    |

  4. A tower is 100sqrt(3) metres high. Find the angle of elevation if i...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The string of a kite is 100 metres long and it makes an angle of 60...

    Text Solution

    |

  8. A circus artist is climbing from the ground along a rope stretched ...

    Text Solution

    |

  9. An observer 1.5 m tall is 28.5 m away from a chimney. The angle of ...

    Text Solution

    |

  10. An electrician has to repair an electric fault on a pole of height ...

    Text Solution

    |

  11. From a point on the ground 40m away from the foot of a tower, the a...

    Text Solution

    |

  12. At a point on level ground, the angle of elevation of a vertical to...

    Text Solution

    |

  13. Determine the height of a mountain if the elevation of its top at a...

    Text Solution

    |

  14. An aeroplane at an altitude of 1200 metres finds that two ships are ...

    Text Solution

    |

  15. Two pillars of equal height and on either side of a road, which is ...

    Text Solution

    |

  16. As observed from the top of a light house, 100m above sea level, th...

    Text Solution

    |

  17. From the top of a building 60m high the angles of depression of the...

    Text Solution

    |

  18. The angle of elevation of a jet plane from a point A on the grou...

    Text Solution

    |

  19. The angle of elevation of a cloud from a point 60 m above a lake i...

    Text Solution

    |

  20. There is a small island in the middle of a 100m wide river and a ta...

    Text Solution

    |