Home
Class 11
MATHS
If the angles of elevation of a tower fr...

If the angles of elevation of a tower from two points distance a and b `(agtb)` from its foot and in the same straight line from it are `30^@` and `60^@`, then the height of the towers

A

`sqrtab`

B

`sqrta+b`

C

`sqrta-b`

D

`sqrt(a/b`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SETS AND RELATIONS

    PATHFINDER|Exercise QUESTION BANK|56 Videos
  • STATISTICS

    PATHFINDER|Exercise QUESTION BANK|45 Videos

Similar Questions

Explore conceptually related problems

If the angle of elevation of the top of a tower from two points distant a and b from the base and in the same straight line with it are comple mentary, then the height of the tower is____

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m, find the height of the tower from the base of the tower and in the same straight line with it are complementary.

The angles of elevation of the bottom and the top of the tower fixed at the top of a 20m high building, from a point on the ground are 45^@ and 60^@ respectively. The height of the tower is

From a point on the horizontal line through the foot of a chimney the angle of elevation of the top of the chimney is 30^@ . and the angle of elevation is 60^@ at a point on the same straight line 50 metres nearer to the chimney. What is the height of the chimney?

If the angles of elevation of the top of a water from three collinear points, B and C, on a line leading to the foot of the tower, are 30^@, 45^@ and 60^@ respectively, then the ratio, AB:BC,is:

If the angles of elevation of the top of a tower from three collinear points A, B and C, on a line leading to the foot of the tower, are 30^0 , 45^0 and 60^0 respectively, then the ratio, AB : BC, is : (1) sqrt(3):1 (2) sqrt(3):sqrt(2) (3) 1:sqrt(3) (4) 2"":""3

Form a point on the same plane along the horizontal line passes through the foot of a chimney, the angle of elevation of the top of the chimney is 30^(@) and the angle of elevation of the top of the chimney is 60^(@) at a point on the same straight line proceeding 50 metres nearer to the chimney. Calculate the height of the chimney.

From a point on the roof of five-storied building the angle of elevation of the top of a monument and that of angle of depression of the foot of the monument are 60^(@) and 30^(@) respectively. If the height of the building is 16 metres, calculate the height of the monument and the distance of the building from the monument.

From a point on the roof of five storied building the angle of elevation of the top of a monument and that of depression of the foot of the monument are 60^@ and 30^@ respectively. If the height of the building is 16 metres, then calculate the height of the monument and the distance of the building from the monument.

From a point at a height of 30 metre from the water level of a lake the angle of elevation of an aeroplane is 30^@ and the angle of depression of the shadow of the aeroplane in water of the lake is 60^@ . What is the height of the aeroplane from the water surface of the lake?

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. If the length of the shadow of a vertical pole on the horizontal groun...

    Text Solution

    |

  2. The ratio of the length of a rod and its shadow is sqrt3:1:. The angle...

    Text Solution

    |

  3. If the angles of elevation of a tower from two points distance a and b...

    Text Solution

    |

  4. The angle of depression of two boatsm as observes from the masthead o...

    Text Solution

    |

  5. A tower subtends an angle of 30^@ at a point on the same level as its ...

    Text Solution

    |

  6. The shadow of a tower , when the angle of elevation of the sun is 45^@...

    Text Solution

    |

  7. The angles of depression of the top and bottom of 8 m tall tower from ...

    Text Solution

    |

  8. The angles of elevation of the bottom and the top of the tower fixed ...

    Text Solution

    |

  9. A tower is 10sqrt3 metres high. If a point on the ground is 30m away ...

    Text Solution

    |

  10. The shadow of a vertical tower on level of ground increased by 10m wh...

    Text Solution

    |

  11. Two posts are just on the opposite side of a road. The heights of the ...

    Text Solution

    |

  12. A man on the top of a vertical observation tower observes a car movin...

    Text Solution

    |

  13. Two men standing on either side of a tower 60m high observe the angle ...

    Text Solution

    |

  14. Two sides of a triangle are of lengths 2a and 2b and contain an angle ...

    Text Solution

    |

  15. An isosceles triangle has two equal sides of length 'a' and angle betw...

    Text Solution

    |

  16. The height of a right circular cone is 40 cm and semi-vertical angle...

    Text Solution

    |

  17. The angle of elevation of the top of the tower observed from each of t...

    Text Solution

    |

  18. A round balloon of radius 10m subtends an angle of 60^@ at the eye of ...

    Text Solution

    |

  19. The angle of elevation of a cloud from a point h metres above a lake i...

    Text Solution

    |

  20. In a triangle ABC , a (bcosC-ccosB) is equal to

    Text Solution

    |