Home
Class 11
MATHS
The angle of elevation of the top of the...

The angle of elevation of the top of the tower is `45^(@)` on walking up a slope inclinde at an angle of `30^(@)` to the horizontal a distance 20 meters, the angle of elevation of top of tower is observed to be `60^(@)`. The height of the tower is

A

` 10 ( sqrt3+ 1) ` mt

B

` 20 ( sqrt3+ 1)mt`

C

` 100 sqrt( 3) ` mt

D

` 50 ( 3 + sqrt3) ` mt

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions ) |58 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - 1|98 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

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 cliff 60 mt high, the angles of depression of top and bottom of a tower are 30^@,60^@ . The height of the tower is

A TV tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower, the angle of elevation of the top of tower is 60^(@) . From another point 10 m away from this point, on the line joining this point to the foot of the tower, the angle of elevation of the top of the tower is 30^(@) . Find the height of the tower and the width of the road.

If the angle of elevation of a tower from a distance of 100 m from its foot is 60^(@) . Then the height of the tower is ……….m.

A T.V. tower stands vertically on the side of a road. From a point on the other side directly opposite to the tower the angle of elevation of the top of tower is 60^@ . From another point 10 m away from the point, on the line joining the point of the foot of the tower, the angle of elevation of the top of the tower is 30^@ . THe width of the road is......

A Tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AB (a) subtends an angle of 60^(@) at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30°. The height of the tower 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

The angle of elevation of a tower from a point on the same level as the foot of the tower is 30^@ on advancing 150 meters towarsd the foot of the tower, the angle of elevation of the tower becomes 60^@ . Find the height of the tower.

AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. If in a Delta ABC , r1 =2r2=3r3, then b: c=

    Text Solution

    |

  2. If cot ""(A)/(2) = 30 , Cot "" (B)/(2) = 50 , Cot "" ( C)/(2) = 70...

    Text Solution

    |

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

    Text Solution

    |

  4. A ladder of 20 mt long reaches a point 20 mt below the top of a flag s...

    Text Solution

    |

  5. The angle of elevation of the toop point P of the vertical tower PQ of...

    Text Solution

    |

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

    Text Solution

    |

  7. A flag staff stands vertically on a pillar. The height of the flag sta...

    Text Solution

    |

  8. A tower subtends angles alpha, 2alpha, 3alpha at A,B and C all lyin...

    Text Solution

    |

  9. The upper (3)/(4) the portion of a vertical pole subtends an angle...

    Text Solution

    |

  10. A vertical pole subtends an angle Tan ^(-1) (( 1)/(2)) at a point ...

    Text Solution

    |

  11. The sides of a right angled trinagles are in A.P., then they are in th...

    Text Solution

    |

  12. The angle of elevation of the top of the tower is 45^(@) on walking up...

    Text Solution

    |

  13. The angle of elevation of a tower from two point which are distance h...

    Text Solution

    |

  14. The upper 3//4 of a ship's mast subtends at a point on the deck whic...

    Text Solution

    |

  15. AB is vertical pole with B at ground level and A at the top. A man fi...

    Text Solution

    |

  16. The angle of elevation of the top of the tower is 45^(@) on walking up...

    Text Solution

    |

  17. The angle of a triangle ABC are in an arithmetic progression . The lar...

    Text Solution

    |

  18. In Delta ABC , if x=tan((B-C)/(2))tan.(A)/(2),y=tan((C-A)/(2))tan.(B)/...

    Text Solution

    |

  19. In Delta ABC, if the sides a,b,c are in geometric progression and the ...

    Text Solution

    |

  20. In a Delta ABC if angle A=90^@, then cos^(-1)(( R)/(r2 +r3)) is equal

    Text Solution

    |