Home
Class 14
MATHS
A person observes that the angle of elev...

A person observes that the angle of elevation of the top of a pole of height 15 metre is `30^(@)` .What is the distance (in metres) of the person from the pole ?

A

15

B

`15sqrt(3)`

C

`(15)/(sqrt(3))`

D

30

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -IV|22 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE -V|45 Videos

  • TRIGONOMETRY

    KIRAN PUBLICATION|Exercise TYPE - II|420 Videos

  • TIME AND WORK

    KIRAN PUBLICATION|Exercise TEST YOURSELF|25 Videos

Similar Questions

Explore conceptually related problems

A person observed that the angle of elevation at the top of a pole of height 5 metre is 30^(@) . Then the distance of the person from the pole is :

80 m away from the foot of the tower, the angle of elevation of the top of the tower is 60^@ . What is the height (in metres) of the tower?

An observer who is 1.62m tall is 45m away from a pole . The angle of elevation of the top of the pole from his eyes is 30^(@) . The height ( in m ) of the pole is closest to :

A person standing on the bank of a river observes that the angle of elevation of the top of a tree standing on the opposite bank is 60^(@) . When he move 40metres away from the bank, he finds the angle of elevation to be 30^(@). Find the height of the tree and the width of the river.

A person standing on the ground observes the angle of elevation of the top of a tower to be 30^@ On walking a distance a in a certain direction, he finds the elevation of the top to be same as before. He then walks a distance 5/3 a at right angles to his former direction, and finds that the elevation of the top has doubled. The height of the tower is

To a man standing at the mid point of the line joining the feet of two vertical poles of same height . The angle of elevation of the tip of each pole is 30^(@) .When the man advances a disrance of 40 metres towards one pole ,the angle of elevation of the tip of this pole is 60^(@) .What is the distance between the two poles ?

A pole 5 m high is fixed on the top of a tower. The angle of elevation of the top of the pole as observed from a point A on the ground is 60^(@) and the angle of depression of the point A from the top of the tower is 45^(@) . Find the height of the tower.

Two poles of equal heights are standing opposite to each other on either side of the road which is 80m wide.From a point between them on the road the angles of elevation of the top of the poles are 60o and 30o respectively. Find the height of the poles and the distances of the point from the poles.

KIRAN PUBLICATION-TRIGONOMETRY -TYPE -III
  1. If the angle of elevation of a cloud from a point 200m above a lake is...

    Text Solution

    |

  2. A hydrogen filled balloon ascending at the rate of 18 kmph was drifted...

    Text Solution

    |

  3. A person observes that the angle of elevation of the top of a pole of ...

    Text Solution

    |

  4. A tower is broken at a point P above the ground .The top of the tower ...

    Text Solution

    |

  5. The angle of elevation of an aeroplane from a point on the ground is 6...

    Text Solution

    |

  6. A kite is flying in the sky. The length of string between a point on t...

    Text Solution

    |

  7. A balloon leaves from a point P rises at a uniform speed. After 6 minu...

    Text Solution

    |

  8. Two points P and Q are at the distance of x and y (where ygtx) respect...

    Text Solution

    |

  9. A Navy captain going away a lighthouse at the speed of 4[(sqrt3) - 1] ...

    Text Solution

    |

  10. The angles of elevation of the top of a building from the top and bot ...

    Text Solution

    |

  11. The distance between the tops of two building of 38 metres and 58 metr...

    Text Solution

    |

  12. The angles of elevation of the top of a tree 220 meters high from two ...

    Text Solution

    |

  13. The angles of elevation of the top of a tower 72 metre high from the t...

    Text Solution

    |

  14. What is the value of ((1)/(3)-cosec30^(@)) ?

    Text Solution

    |

  15. What is the value of (cosec30^(@)-(1)/(sqrt(3))) ?

    Text Solution

    |

  16. What is the value of (2(1-sin^2 theta) cosec^2 theta)/(cot^2 theta(1+t...

    Text Solution

    |

  17. What is the value of (cos2A+2cos^(2)A-2cos2AcosA)/(sin2A-2sin^(2)Asin2...

    Text Solution

    |

  18. What is the value of cos15^(@)-cos165^(@) ?

    Text Solution

    |

  19. What is the value of [1-tan(90^(@)-theta)]^(2)*[cos^(2)(90^(@)-theta) ...

    Text Solution

    |

  20. A pole is standing on the top of a house. Height of house is 25 metres...

    Text Solution

    |