Home
Class 11
MATHS
There are two stations P,Q due north, du...

There are two stations P,Q due north, due south of a tower of height 15 metres. The angle of depression of P and Q as seen from top a tower are `cot^(-1)"" (12)/5, sin^(-1)"" (3)/5`. The distance between P and Q is -------

A

`48`

B

`56`

C

`65`

D

`25`

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

The angle of depression from the top of a tower 12m height, at a point on the ground is 30^(@) . The distance of the point from the tower is…………….

The angle of elevation of the top of the top of a vertical tower from a point A, due east of it is 45^(@) . The angle of elevation of the top of the same tower from a point B, due south of A is 30^(@) . If the distance between A and B is 54sqrt2m , then the height of the tower (in meters), is

From the top of a building with height 30(sqrt(3)+1) m two cars make angle of depression of 45^(@)" and "30^(@) due east. What is the distance between two cars?

Two forces P and Q are in ratio P: Q = 1 : 2 . If their resultant is at an angle tan^(-1) ((sqrt3)/(2)) to vector P. then angle between P and Q is:

The angle of elevation of tower at a point 40m apart form it is cot^(-1)(3/5) . Obtain the height of the tower.

A flag staff of height 10 metres is placed on the top of a tower of height 30 metres. At the top of a tower of height 40 metres, the flag staff and the tower subtend equal angles then the distance between the two towers in metres is

The top of a hill observed from the top and bottom of a building of height h is at angle of elevation p and q respectively. The height of the hill is

AAKASH SERIES-HEIGHTS AND DISTANCES-LECTURE SHEET Exercise-I (Straight Objective Type Questions)
  1. From the top of a cliff x mts heigh, the angle of depression of the fo...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The angle of elevation of the top of the top of a vertical tower from...

    Text Solution

    |

  20. Let 10 vertical poles standing at equal distances on a straight line, ...

    Text Solution

    |