Home
Class 10
MATHS
The angles of elevation of the top of a ...

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary.Prove that the height of the tower is 6m.

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 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 angle of elevation of the top of a tower as observed from a point on the ground is alpha and on moving 'a' metres towards the tower the angle of elevation is beta .Prove that the height of the tower is (atanalphatanbeta) / (tanbeta-tanalpha)

The angle of elevation of the top of a tower at a point on a level ground is 30°.After walking a distance of 100mtowards the foot of the tower along the horizontal line through the foot of the tower on the same level ground, the angle of elevation of the top of the tower is 60°.Find the height of the tower.

A TV tower stands vertically on a bank of a canal.From a point on the other bank directly opposite the tower,the angle of elevation of the top of the tower is 60^@ .From another points 20 m away from this point on the line joining this point to the foot of the towre,the angle of elevation of the top of the tower is 30^@ (seeFig).Find the height of the tower and the width of the canal.

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 angle of elevation of the top of a temple from a point in the same horizontal plane is 30^@ .When observed from another point which is 150m straight ahead of the original point on the same plane,the angle of elevation of the top of the temple was 60^@ .Find the height of the temple.

The angle of elevation of a post of height 55m as seen from the foot of a man standing on a road is 60^@ .Find the distance of the man from the post.

The angle of elevation of the top of a hill at the foot of the tower is 60° and the angle of elevation of the top of a tower from the foot of the hill is 30°.If the tower is 50m high, find the height of the hill.

The angle of elevation of the top of a building from the foot of the tower is 30^@ and the angle of elevation of the top of the tower from the foot of the building is 60^@ .If the tower is 50 m high,find the height of the building

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

R G PUBLICATION-SOME APPLICATION OF TRIGONOMETRY-EXERCISE
  1. A 1.2m tall girl spots a balloon moving with the wind in a horizontal ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. A vertical post of height 5sqrt3m above the horizontal ground casts a ...

    Text Solution

    |

  9. The ratio of the length of a pole and its shadow is1:sqrt3.The angle o...

    Text Solution

    |

  10. If the height and length of the shadow of a man are the same,then the ...

    Text Solution

    |

  11. The length of the string of a kite flying at 100 mts above the ground ...

    Text Solution

    |

  12. A tree casts a shadow 4m long on the ground,when the angle of elevatio...

    Text Solution

    |

  13. The length of shadow of a tower on the plane ground is sqrt3 times the...

    Text Solution

    |

  14. A vertical post of height 5sqrt3m above the horizontal ground casts a ...

    Text Solution

    |

  15. What is the angle of elevation of sun when the length of the shadow of...

    Text Solution

    |

  16. The angle of elevation of a post of height 55m as seen from the foot o...

    Text Solution

    |

  17. A ladder 12m long is leaning on a wall.Its foot 6m away from the wall....

    Text Solution

    |

  18. A ladder is kept standing at a slanting position against a wall of a h...

    Text Solution

    |

  19. If the top of a temple subtends an angle of30^@ at a point on the grou...

    Text Solution

    |

  20. If the top of a temple subtends an angle of60^@ at a point on the grou...

    Text Solution

    |