Home
Class 10
MATHS
The angle of elevation of a cloud from a...

The angle of elevation of a cloud from a point h metre above a lake is `theta`.The angle depression of its reflection in the lake is `45^@`The height of the cloud is

Text Solution

AI Generated Solution

To solve the problem, we need to find the height of the cloud above the lake given the angle of elevation from a point above the lake and the angle of depression of the cloud's reflection in the lake. ### Step-by-Step Solution: 1. **Understanding the Setup**: - Let the height of the point above the lake be \( h \). - Let the height of the cloud above the lake be \( d \). - The angle of elevation to the cloud from the point is \( \theta \). ...
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 angle of elevation of a cloud from a point 250 m above a lake is 15^(@) and angle of depression of its reflection in lake is 45^(@) . The height of the cloud is

If the angle of elevation of the cloud from a point hm above a lake is A and the angle of depression of its reflection in the lake is B prove that the height of the cloud is h(tan B+tan A)tan B-tan A

If the angle of elevation of a cloud from a point 200 m above a lake is 30o and the angle of depression of its reflection in the lake is 60o , then the height of the cloud above the lake, is (a) 200 m (b) 500 m (c) 30 m (d) 400 m

The angle of elevation of a cloud from a point h mt. above is theta^@ and the angle of depression of its reflection in the lake is phi . Then, the height is

If the angle of elevation of a cloud from a point 200m above a lake is 30^(@) and the angle of depression of its reflection in the lake is 60^(@) .Then the height of the cloud above the lake is :

If the angle of elevation of a cloud from a point 10 metres above a lake is 30^(@) and the angle of depression of its reflection in the lake is 60^(@) . Find the height of the cloud from the surface of lake.

If the angle of elevation of a cloud from a foot 4 meters above a lake is beta and the angle of depression of its reflection in the lake is alpha then the height is

RD SHARMA-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
  1. A man sitting at a height of 20m on a tall tree on a small island in ...

    Text Solution

    |

  2. The angle of elevation of a cloud from a point h metre above a lake is...

    Text Solution

    |

  3. Two boats approach a light house in mid-sea from opposite directions. ...

    Text Solution

    |

  4. A ladder rests against a vertical wall at inclination alpha to the hor...

    Text Solution

    |

  5. A ladder makes an angle of 60^0 with the ground when placed against a ...

    Text Solution

    |

  6. The length of shadow of a tower on the plane ground is sqrt(3) times t...

    Text Solution

    |

  7. The angle of elevation of the top of a tower at a point on the ground ...

    Text Solution

    |

  8. From a light house the angles of depression of two ships on opposite s...

    Text Solution

    |

  9. From a window 15 metres high above the ground in a street, the angles ...

    Text Solution

    |

  10. A man standing on the deck of a ship, which is 10m above water level. ...

    Text Solution

    |

  11. An aeroplane at an altitude of 200 metres observes the angles of de...

    Text Solution

    |

  12. The angle of elevation of the top of a vertical tower P Q from a ...

    Text Solution

    |

  13. A man on the top of a vertical tower observes a car moving at a unifor...

    Text Solution

    |

  14. The shadow of a flag-staff is three times as long as the shadow of the...

    Text Solution

    |

  15. A person standing on the bank of a river observes that the angle of ...

    Text Solution

    |

  16. Two stations due south of a leaning tower which leans towards the nort...

    Text Solution

    |

  17. From an aeroplane vertically above a straight horizontal road, the ...

    Text Solution

    |

  18. A ladder rests against a wall at an angle alpha to the horizontal. It...

    Text Solution

    |

  19. If the angle of elevation of a cloud from a point h metres above a lak...

    Text Solution

    |

  20. The horizontal distance between two towers is 140 mdot The angle of el...

    Text Solution

    |