Home
Class 14
MATHS
The angle of elevation of the top of a t...

The angle of elevation of the top of a tower at a point G on the ground is `30^(@)`. On walking 20 m towards the tower the angle of elevation becomes `60^(@)`. The height of the tower is equal to :

A

10 metre

B

`(10)/sqrt3` metre

C

`10sqrt3` metre

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY AND ITS APPLICATIONS

    DISHA PUBLICATION|Exercise Practice Exercise (Foundation Level)|18 Videos

  • TIME, SPEED AND DISTANCE

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower at a point on the ground is 30o.On walking 24m towards the tower,the angle of elevation becomes 60_(0). Find the height of the tower.

The angle of elevation of the top of a tower at a point A on the ground is 30^(@) . On walking 20 meters toward the tower, the angle of elevation is 60^(@) . Find the height of the tower and its distance from A.

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 45 m towards the tower, the angle of elevation becomes 45^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 40sqrt3 m towards the tower, the angle of elevation becomes 60^(@) . Find the height of the tower.

The angle of elevation of the top of a tower at a point on level ground is 45^(@). When moved 20 m towards the tower, the angle of elevation becomes 60^(@). What is the height of the tower ?

Problems of finding the height of tower if angle of elevation is changing on walking away/towards the tower.ex-1The angle of the elevation of the top of the tower at a point on the ground is 30^(0). On walking 24m towards the tower the angle of elevation changes from 60^(0). Find the height of the tower.

The elevation of the top of a tower from a point on the ground is 45^(@) . On travelling 60 m from the point towards the tower, the alevation of the top becomes 60^(@) . The height of the tower, in metres, is

DISHA PUBLICATION-TRIGONOMETRY AND ITS APPLICATIONS-Practice Exercise (Foundation Level)
  1. Evaluate : cos1^(@)cos2^(@)cos3^(@). . . cos179^(@)

    Text Solution

    |

  2. sin^2theta+cosec^2theta is always

    Text Solution

    |

  3. If sintheta+costheta=a and (sintheta+costheta)/(sinthetacostheta)=b, t...

    Text Solution

    |

  4. The value of (sin^2""7""1/2""+cos^2""7""1/2""^@)-(sin^2""30^@+cos^2""3...

    Text Solution

    |

  5. If tan15^@=2-sqrt3, then the value of cot^2""75^@

    Text Solution

    |

  6. If x=psectheta and y=qtantheta then

    Text Solution

    |

  7. If btantheta=a, the value of (asintheta-bcostheta)/(asintheta+bcosthet...

    Text Solution

    |

  8. If tantheta+sintheta=m and tan theta-sin theta=n, then find the value ...

    Text Solution

    |

  9. tan9^@xxtan27^@xxtan63^@xxtan81^@= (a)4 (b)3 (c)2 (d)1

    Text Solution

    |

  10. In the adjoining figure, the length of BC is (a)2sqrt3 cm (b)3sq...

    Text Solution

    |

  11. If the angle of depression of an object from a 75 m high tower is 30^@...

    Text Solution

    |

  12. The angle of elevation of the top of a tower at a point G on the groun...

    Text Solution

    |

  13. The top of a broken tree has its top touching the ground (shown in the...

    Text Solution

    |

  14. An aeroplane flying horiontally 1 km above the ground is observed at a...

    Text Solution

    |

  15. A ladder 25 m long is leaning against a wall which is perpendicular to...

    Text Solution

    |

  16. If the lengthof the shadow of a tower is sqrt(3) times its height of t...

    Text Solution

    |

  17. The angles of elevation of the top of a tower from two points at dista...

    Text Solution

    |

  18. An aeroplane at a height of 600 m passes vertically above another aero...

    Text Solution

    |