Home
Class 10
MATHS
A man on the top of a cliff 100 mts high...

A man on the top of a cliff 100 mts high, observes the angle of depression of the two points on opposite sides of the cliff as `30^@` and `60^@`respectively. Find the distance between the two points.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF TRIGNOMETRY

    BEYOND PUBLICATION|Exercise EXERCISE|127 Videos
  • CO-ORDINATE GEOMETRY

    BEYOND PUBLICATION|Exercise EXERCISE|246 Videos

Similar Questions

Explore conceptually related problems

From the top of a tower of 50m high, Neha observes the angles of depression of the top and foot of another building to be 45^(@)" and "60^(@) respectively. Find the height of the building.

The angles of elevation of the top of a rock from the top and foot of a 100 mts high tower are respectivley 30^@ and 60^@ respectivley. Find the distance between the two points.

Two men on either side of a temple of 30 meter height observe its top at the angles of elevation 30^(@)" and "60^(@) respectively. Find the distance between the two men.

Two boys are on opposite sides of a tower of 200 m height. They measure the angle of elevation of the top of the tower as 45^@ and 60^@ respectively. Find the distance throught which the boys are separated.

From the top a mast of 180 mt high, the angle of depression of an object is 60^@ The distance of the object from the ship is

From the top of a cliff 60 mt high, the angles of depression of top and bottom of a tower are 30^@,60^@ . The height of the tower is

An observer flying in an aeroplane at an altitude of 900 m observes two ships in front of him, which are in the same direction at an angles of depression of 60^(@)" and "30^(@) respectively. Find the distance between the two ships.

An observe flying in an aeroplane at an altitude of 1500 m observes two ships in front of him. Which are in the same direction at an angles of depression of 60^@ and 30^@ respectively. Find the distance between two ships.

From the top of a 10 m high tower, the angle of depression of a point on the ground is found to be 30^@ . Find the distance of the point from the base of the tower is

From the top of a 10 m height tree the angle of depression of a point on the ground is 30^@ then the distance of the point from the foot of the tree is

BEYOND PUBLICATION-APPLICATIONS OF TRIGNOMETRY-EXERCISE
  1. A vertical pole is 10 mts. High. The length of its shadow is 10 sqrt 3...

    Text Solution

    |

  2. Find the height of a mountain cliff, if the angle of elevation of its ...

    Text Solution

    |

  3. A man on the top of a cliff 100 mts high, observes the angle of depres...

    Text Solution

    |

  4. The angles of elevation of the top of a rock from the top and foot of ...

    Text Solution

    |

  5. The shadow of a tower standing on a level ground is found to be 40 m l...

    Text Solution

    |

  6. The angle of elevation of a tower from a point on the same level as th...

    Text Solution

    |

  7. A circus artist is climbing a 16 m long rope, which is tightly stretch...

    Text Solution

    |

  8. From the top of a cliff 60 mt high, the angles of depression of top an...

    Text Solution

    |

  9. If a pole 6 m high casts a shadow 2sqrt(3)m long on the ground. Then t...

    Text Solution

    |

  10. If the angle of elevation of a tower from a distance of 100 m from its...

    Text Solution

    |

  11. The height of a tower is 10m. The length of its shadow when sun's alti...

    Text Solution

    |

  12. The length of the shadow of a tower on the plane ground is sqrt(3) tim...

    Text Solution

    |

  13. The ratio of the length of a rod and its shadow is 1:sqrt(3), then th...

    Text Solution

    |

  14. If two towers of height X and Y subtend angles of 30^(@)" and "60^(@) ...

    Text Solution

    |

  15. A wall of 8m long casts a shadow 5m long. At the same time, a tower ca...

    Text Solution

    |

  16. If the sun's angle of elevation is 60^(@). Then a pole of height 6m wi...

    Text Solution

    |

  17. A pole of 12m high casts a shadow 4sqrt(3)m on the ground. Then the su...

    Text Solution

    |

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

    Text Solution

    |

  19. What is the angle of elevation of the top of a temple of height 10 m a...

    Text Solution

    |

  20. The length of the shadow of 5 m height tree whose angle of elevation o...

    Text Solution

    |