Home
Class 11
MATHS
From the top of a cliff x mts heigh, the...

From the top of a cliff x mts heigh, the angle of depression of the foot of a tower is found to be double the angle of elevation of the tower. If the height of the tower is h, the angle of elevation is

A

`Tan^(-1)sqrt(3-(2h)/(x))`

B

`Tan^(-1)sqrt(3-(2h)/(x))`

C

`Sin^(-1)sqrt((2h)/(x))`

D

`Cos^(-1)sqrt((2h)/(x))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-I) (Straight Objective Type Questions)|39 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE HEIGHTS AND DISTANCES) (LEVEL- I (MAIN) SINGLE ANSWER TYPE QUESTIONS)|30 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

Similar Questions

Explore conceptually related problems

From the top of a chiff 30 metres high, the angle of elevation of the top of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

From the top of a building 60 m high the angle of elevation of the top of a tower is found to be angle of depression of the foot of the tower. The height of the tower in meter 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

From a point 30 mts from the foot of a tower, the angle of elevation of the top is 30^@ . The height of the tower is………..

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

The length of the shadow of tower is equal its height. Then the angle of elevation of the sun.

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 of the tower.

What change will be observed in the angle of elevation as we approach the foot of the tower?

The length of the shadow of a tower on the plane ground is sqrt(3) times the height of the tower. The angle of elevation of sun is

If the length of the shadow of a tower is (1)/(sqrt(3)) times the height of the tower, then the angle of elevation of the sun is………

AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET Exercise-I (Straight Objective Type Questions)
  1. Two vertical poles 20m and 80m heigh stand apart on a horizontal plane...

    Text Solution

    |

  2. If from the top of a tower of 60 metre heigh, the angles of depression...

    Text Solution

    |

  3. From the top of a cliff x mts heigh, the angle of depression of the fo...

    Text Solution

    |

  4. A ladder rests against wall at an angle alpha to the harizontal. Its f...

    Text Solution

    |

  5. If the angles of elevation of the top of a tower from three collinear ...

    Text Solution

    |

  6. A ballon is observed simultaneously from the 3 points A,B,C on a staig...

    Text Solution

    |

  7. At the foot of the mountain the elevation of its summit is 45^(@) Afte...

    Text Solution

    |

  8. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  9. The upper 3//4th portion of a vertical pole subteds pole subteds an an...

    Text Solution

    |

  10. A tower MPQ surmounted by a spiral QR stands on a harzontal plane. At ...

    Text Solution

    |

  11. On one side of a road of width 'd' meters there is a points of observa...

    Text Solution

    |

  12. A flag staff of 5 mts high stands on a building of 25 mt high. At an o...

    Text Solution

    |

  13. There are two stations P,Q due north, due south of a tower of height 1...

    Text Solution

    |

  14. A tower leans towards west making an angle alpha with the vertical. Th...

    Text Solution

    |

  15. A man is walking towards a vertical pillar in a straight path, at a un...

    Text Solution

    |

  16. A bird is sitting on the top of a vertical pole 20 m high and its elev...

    Text Solution

    |

  17. A tower stands at the center of a circular park. A and B are two point...

    Text Solution

    |

  18. A lamp post is sittuated at the middle point M of the side AC of a tri...

    Text Solution

    |

  19. The angle of elevation of a top of a tower from a point A due south of...

    Text Solution

    |

  20. A longer side of a parallelogram is 10 cm and the shorter is 6cm. If t...

    Text Solution

    |