Home
Class 12
MATHS
From a point on the level ground, the an...

From a point on the level ground, the angle of elevation of the top of a pole is `30^@`. On moving 20 metres nearer, the angle of elevation is `45^@`. Then the height of the pole, in metres , is

A

`10(sqrt(3)-1)`

B

`10(sqrt(3)+1)`

C

`15`

D

`20`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    SIA PUBLICATION|Exercise Problems|41 Videos
  • QUADRATIC EXPRESSIONS AND THEORY OF EQUATIONS

    SIA PUBLICATION|Exercise Problems|71 Videos

Similar Questions

Explore conceptually related problems

From a point on the level ground , the angel of elevation of the top of a pole is 30^(@) . On moving 20 meters nearer, the angle of elevation is 45^(@) . Then the height of the pole, in meters, is

The angle of elevation of top of a tree is 30^(@) . On moving 20m nearer, the angle of elevation is 60^(@) . The height of the tree is

A statue stands on the top of a 2m tall pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^(@) and from the same point the angle of elevation of the top of the pedstal is 45^(@) . Find the height of the statue.

The angle of elevation of the top of a tower from a point on the same level as the foot of the tower is 15^@ . On moving 100 metres towards the tower, the angle of elevation increases to 30^@ . The height of the tower is

When the angle of elevation of a pole is 45^(@) , the length of the pole and its shadow are

A tree stands vertically on the slant of the hills From a point A on the ground 35 meters. Down the hill from the base of the tree , the angle of elevation of the top of the tree is 60 ^(@) . If the angle of elevation of the foot of the tree A is 15 ^(@) , then the height of the tree.

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

At a certain point the angle of elevation of a tower is found to be cot^(-1)(3/5) . On walking 32 metres directly towards the tower its angle of elevation is cot^(-1)(2/5) . The height of the tower in metres 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………..

SIA PUBLICATION-PROPERTIES OF TRIANGLES, HEIGHTS AND DISTANCES-Problems
  1. If b +c =3a , then find the value of cot.(B)/(2)cot.(C)/(2)

    Text Solution

    |

  2. The elevation of an object on a hill is observed from a certain point...

    Text Solution

    |

  3. In a DeltaABC,sum(b+c)tan""A/2tan((B-C)/2)=

    Text Solution

    |

  4. Two sides of a triangle are given by the roots of the equation x^2-5x+...

    Text Solution

    |

  5. In a Delta ABC, a (cos^2 B+cos^2 C)+cos A(c cos C+b cos B)=

    Text Solution

    |

  6. A tower, of x metres high, has a flagstaff at its top. The tower and t...

    Text Solution

    |

  7. IF in a Delta ABC, r3=r1+r2+r, then angle A+ angle B=

    Text Solution

    |

  8. In a triangleABC, (a-b)^2 cos^2(C )/(2)+(a+b)^2 sin^2(C )/(2) is equal...

    Text Solution

    |

  9. In a triangleABC, the correct formulae, among the following are I r...

    Text Solution

    |

  10. An aeroplane flying with uniform speed horizontally one kilometer abov...

    Text Solution

    |

  11. In Delta ABC, if r1 lt r2 lt r3 then

    Text Solution

    |

  12. In Delta ABC if b=20,c=21 and sin A=3//5, then a=

    Text Solution

    |

  13. A tower subtends angles alpha,2 alpha, 3 alpha respectively at points ...

    Text Solution

    |

  14. If the altitudes of a triangle are in arithmetic progression, then the...

    Text Solution

    |

  15. In Delta ABC, (cos C+ cos A)/(c+a)+(cos B)/b=

    Text Solution

    |

  16. If triangleABC is right angle at A, then r2+r3 is equal to

    Text Solution

    |

  17. From a point on the level ground, the angle of elevation of the top of...

    Text Solution

    |

  18. In Delta ABC, if a/(b^2-c^2)+c/(b^2-a^2)=0 then B=

    Text Solution

    |

  19. In Delta ABC,a^2 sin 2C+c^2 sin 2A=

    Text Solution

    |

  20. The shadow of the tower standing on a level ground is found to be 60 m...

    Text Solution

    |