Home
Class 11
MATHS
A flag staff of length 10 mt stands on a...

A flag staff of length 10 mt stands on a tower if from a point on the ground , the angle of elevation of the foot and the top of the flagstaff are `45 ^(@) and 75 ^(@) ` then height of the tower is

A

` 5( sqrt3+ 1) `

B

` (80 )/(sqrt3) (sqrt3+ 1) `

C

` ( 80 (sqrt3+ 1)) /( 3sqrt3) `

D

` 5(sqrt3-1) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - II|148 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|12 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

A flag staff of length 'd' stands on tower of height h. IF at a point on the ground the angle of elevation of the tower and top of the flag staff be alpha, beta then h=

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 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.

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 ladder of 20 mt long reaches a point 20 mt below the top of a flag staff. If the angle of elevation of the top of the flag staff at the foot of the ladder is 60 ^(@) then the height of the flag staff is

A tower stands vertically on the ground. From a point which is 15 meter away from the foot of the tower, the angle of elevation of the top of the tower is 45^(@) . What is the height of the tower?

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.

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………..

AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - 1
  1. A tree is broken by wind, its upper part touches the ground at a point...

    Text Solution

    |

  2. The angle of elevation of an object from a point P on the level ground...

    Text Solution

    |

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

    Text Solution

    |

  4. A person standing on the bank of a river observes that the angle subte...

    Text Solution

    |

  5. The angle of elevation of the top of an unfinished tower from a point ...

    Text Solution

    |

  6. If a flag staff of 6 mt high placed on the top of a tower throws a sha...

    Text Solution

    |

  7. A sphere of radius 'a' subtends an angle 60^(@) at a point P. Then the...

    Text Solution

    |

  8. Two tress A and B are on the same side of a river . From a point C in ...

    Text Solution

    |

  9. Two ships leave a port at the same time . One goes 24km per hour in th...

    Text Solution

    |

  10. If tan "" (A ) /(2) = (5)/(6) , tan "" ( B)/(2) = ( 20 )/( 37) " t...

    Text Solution

    |

  11. In a triangle ABC if (cos A)/a=(cos B)/b= (cos C)/c, then Delta ABC is

    Text Solution

    |

  12. In Delta ABC, if sin C=(sin A)/(2 cos B) then the triangle is

    Text Solution

    |

  13. The angle of elevation of the sun when length of the shadow of a pole ...

    Text Solution

    |

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

    Text Solution

    |

  15. A flag staff of length 10 mt stands on a tower if from a point on the ...

    Text Solution

    |

  16. The shadow of a tower standing on a level plane is found to be 50 mt l...

    Text Solution

    |

  17. A tree stands vertically on the slant of the hills From a point A on t...

    Text Solution

    |

  18. If Delta ABC is such that angle A = 90 ^(@) , angle B ne angle C " ...

    Text Solution

    |

  19. In Delta ABC, if 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle is ...

    Text Solution

    |

  20. In Delta ABC, if 2R + r = r(2) then angleB =

    Text Solution

    |