Home
Class 11
MATHS
A bird is sitting on the top of a vertic...

A bird is sitting on the top of a vertical pole 20 m high and its elevations from a point O on the ground is `45^@`. It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to `30^@`. Then the speed (in m/s)of the bird is

A

`20sqrt2`

B

`20(sqrt3-1)`

C

`40(sqrt2-1)`

D

`40(sqrt3-sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

A bird is sitting on the top of a vertical pole 20 m high and its elevation from a point O on the ground is 45o . It flies off horizontally straight away from the point O. After one second, the elevation of the bird from O is reduced to 30o . Then the speed (in m/s) of the bird is (1) 40(sqrt(2)-1) (2) 40(sqrt(3)-2) (3) 20""sqrt(2) (4) 20(sqrt(3)-1)

From the top of a tower , which is 240m high , if the angle of depression of a point on the ground is 30^@ . then the distance of the point from the foot of the tower is

A tower stands vertically on the ground. From a point on the ground.which is 30 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 45^(@) . Then the height of the tower is

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

The angle of elevation of the top of a tower from a point O on the ground, which is 450 m away from the foot of the tower, is 40^(@) . Find the height of the tower.

From the foot of a 60m high tower the angle of elevation of a minar is 60^@ and from the top, it is 30^@ . Find the height of the minar.

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?

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

A boy observed the top of an electric pole at an angle of elevation of 60^(@) when the observation point is 8 meters away from the foot of the pole. Find the height of the pole.

A post stands on the top of a pillar 40ft high. The elevations of the tops of the pillar and the post are respectively 30^@ and 45^@ to an observer standing on the horizontal line from the foot of the pillar. Find the lenght of the post and the distance of the observer from the pillar.

PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. prove that cosA +cosB+cosC=1+r/R.

    Text Solution

    |

  2. The sides of a triangle are x^2+3x+3,2x+3,x^2+2x. Find the greatest a...

    Text Solution

    |

  3. If P1,P2,P3 be the altitudes of a triangle from the vertices A,B,C Res...

    Text Solution

    |

  4. If in triangleABC ,a^4+b^4+c^4=2c^2(a^2+b^2) then find angleC

    Text Solution

    |

  5. Let h1,h2,h3 be the altitudes of the DeltaABC and let the inradius be ...

    Text Solution

    |

  6. For any triangle ABC, find the value of (bc cos^2(A/2)+cacos^2(B/2)+a...

    Text Solution

    |

  7. If in a DeltaABC, sin^3A+sin^3B+sin^3C=3sinA.sinB.sinC,then find the v...

    Text Solution

    |

  8. AD is a median of the DeltaABC.If AE and AFare medians of the triangle...

    Text Solution

    |

  9. In a triangle DeltaXYZ, let a,b and c be the lengths of the sides opp...

    Text Solution

    |

  10. In a triangle DeltaXYZ, let a, b, and c be the length of the sides opp...

    Text Solution

    |

  11. If the angles of elevation of the top of a water from three collinear ...

    Text Solution

    |

  12. If in a triangle DeltaABC,a^2cos^2A-b^2-c^2=0, then

    Text Solution

    |

  13. In a triangle ABC,angleC=90^@, r and R are the inradius and circumra...

    Text Solution

    |

  14. A bird is sitting on the top of a vertical pole 20 m high and its elev...

    Text Solution

    |

  15. In a DeltaABC, tanA and tanB are the roots of pq(x^2+1)=r^2x. Then Del...

    Text Solution

    |

  16. In a DeltaABC, a,b,c are the sides of the triangle opposite to the ang...

    Text Solution

    |

  17. Let PQR be a triangle of area Delta with a=2,b=7/2 and c=5/2, where a,...

    Text Solution

    |

  18. Let p,q,r be the sides opposite to the angles P,Q,R respectively in a ...

    Text Solution

    |

  19. Let p,q,r be the altitudes of a triangle with area s and perimeter 2t....

    Text Solution

    |

  20. If in a triangle ABC, sinA, sinB,sinC are in A.P., then

    Text Solution

    |