Home
Class 10
MATHS
From a point on the roof of five storied...

From a point on the roof of five storied building the angle of elevation of the top of a monument and that of depression of the foot of the monument are `60^@` and `30^@` respectively. If the height of the building is 16 metres, then calculate the height of the monument and the distance of the building from the monument.

Promotional Banner

Topper's Solved these Questions

  • PATHA BHAVAN

    UNITED BOOK HOUSE|Exercise EXERCISE|55 Videos
  • Pythagoras Theorem

    UNITED BOOK HOUSE|Exercise Exercise |28 Videos

Similar Questions

Explore conceptually related problems

From a point on the roof of five-storied building the angle of elevation of the top of a monument and that of angle of depression of the foot of the monument are 60^(@) and 30^(@) respectively. If the height of the building is 16 metres, calculate the height of the monument and the distance of the building from the monument.

From the point on the top of a palace of 60 metres height, it is observed that the angle of depression of the tip and the foot of a tower are 30^@ and 60^@ respectively. Find the height of the tower.

From a point on the roof a house 11 metres height, it is observed that the angles of depression of the tip and foot of a lamp post are 30^@ and 60^@ respectively. Find the height of the lamp post.

The angles of depression of the top and bottom of 8 m tall tower from a cliff are 30^@ and 45^@ respectively. Which of the following will be the height of the cliff?

From the top of a building, the angle of elevation of the top of a cell tower is 60^(@) and the angle of depression to its foot is 45^(@) . If distance of the building from the tower is 7m, then find the height ofthe tower.

The length of the flag post at the roof of a three storied building is 3.6 metre. The angles of elevation of the top and foot of the post are 50^@ and 45^@ respectively from a point on the road. Find the height of the building. [Take tan 50^@ = 1.2 ]

The angles of elevation of the bottom and the top of the tower fixed at the top of a 20m high building, from a point on the ground are 45^@ and 60^@ respectively. The height of the tower is

From the top of a cliff, 150 metres high, the angles of depression of the top and bottom of a pillar are found to be 30^@ and 60^@ respectively, find the height of the pillar.

UNITED BOOK HOUSE-PATRASAYER BAMIRA GURUDAS INSTITUTION, BANKURA-EXERCISE
  1. If 1/x-1/y alpha 1/(y-x), show that x alpha y.

    Text Solution

    |

  2. If ay - bx/c = cx - az/b = bz - cy/a, then prove that x/a = y/b = z/c.

    Text Solution

    |

  3. If x/(y+z)=y/(z+x)=z/(x+y) prove that the value of each ratio is eithe...

    Text Solution

    |

  4. State and prove Pythagoras theorem.

    Text Solution

    |

  5. Prove that opposite angles of a cyclic quadrilateral are supplementary

    Text Solution

    |

  6. O is any point inside a rectangle. Prove that OA^2+OC^2=OB^2+OD^2.

    Text Solution

    |

  7. ABCD is a cyclic quadrilaterla. Extended AB and DC intersect at P. Pr...

    Text Solution

    |

  8. Geometrically calculate the value of sqrt(23). (Only traces of constru...

    Text Solution

    |

  9. Draw a triangle whose one of the side is 7.2 cm and adjacent angles of...

    Text Solution

    |

  10. Sum of two angles is 135^@ and their difference is pi^c/12. Find the s...

    Text Solution

    |

  11. If costheta= x/sqrt(x^2+y^2) show that x sin theta = y cos theta.

    Text Solution

    |

  12. If sin 17^@ = x/y show that sec 17^@-sin 73^@ = x^2/(ysqrt(y^2-x^2).

    Text Solution

    |

  13. From a point on the roof of five storied building the angle of elevati...

    Text Solution

    |

  14. Mohit, standing in the midst of a field, observes a flying birds in hi...

    Text Solution

    |

  15. The curved surface of a solid metalic sphere is cut in such a way tha...

    Text Solution

    |

  16. A right circular cylindrical tank of 9 metre height is filled with wat...

    Text Solution

    |

  17. Half of the cuboidal water tank with length 2.1m and breadth of 1.5m i...

    Text Solution

    |

  18. find the median of the following frequency distribution

    Text Solution

    |

  19. Find the mode of the following frequency distribution.

    Text Solution

    |

  20. Draw an ogiove (less than type) from the given data.

    Text Solution

    |