Home
Class 10
MATHS
A boy standing on a horizontal plane fin...

A boy standing on a horizontal plane find a bird flying at a distance of 100m from him at an elevation of 30°. A girls standing on the roof of 20 m high building finds the angle of elevation of the same bird to be 45°.Both the boy and the girl are on opposite sides of the bird.Find the distance of the bird from the girl.

Promotional Banner

Topper's Solved these Questions

  • ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS

    KALYANI PUBLICATION|Exercise EXERCISE|39 Videos
  • AREA OF SIMILAR TRIANGLES

    KALYANI PUBLICATION|Exercise EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

The angle of elevation of a post of height 55m as seen from the foot of a man standing on a road is 60^@ .Find the distance of the man from the post.

When observed from the top of a 125 m high building,the angle of depression of a car was found to be 30^@ .Find the distance of the car from the building.

A 1.5 m tall boy is standing at some distance from a 30 m tall building.The angle of elevation from his eyes to the top of the building increases from 30^@ to 60^@ as he walks towards the building.Find the distance he walked to towards the building.

The angle of elevation of the top of a tower from a point on the ground,which is 30m away from the foot of the tower,is 30^@ .Find the height of the tower.

The angle of elevation of the top of a building from the foot of the tower is 30^@ and the angle of elevation of the top of the tower from the foot of the building is 60^@ .If the tower is 50 m high,find the height of the building

An observer standing 72 m away from a building notice that the angles of elevation of the top and the bottom of a flag staff on the building are respectively 60^@ and 45^@ .Find the height of the flag staff.

The angle of elevation of the top of a hill at the foot of the tower is 60° and the angle of elevation of the top of a tower from the foot of the hill is 30°.If the tower is 50m high, find the height of the hill.

From the top of a building 100m high ,the angle of depression of the top and bottom of a tower observed to be 45° and 60° respectively. Find the height of the tower. Also find the distance between the foot of the building.

A man standing on a bank of a river found that the angles of elevation of a tree on the other bank of the river is 60^@ .By retiring 40m back,he found the angle of elevation to be 30^@ .Find the height of the tree and the breadth of the river.

An aeroplane when flying at a height of 3125mfrom the ground passes vertically below another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 30° and 60° respectively. Find the distance between the two planes at the instant.

KALYANI PUBLICATION-ALGEBRIC METHOD OF SOLVING A PAIR OF LINEAR EQUATIONS-EXERCISE
  1. A boy standing on a horizontal plane find a bird flying at a distance ...

    Text Solution

    |

  2. Solve by the method of elimination: 5x-3y=1, 2x+5y=19

    Text Solution

    |

  3. Solve by the method of elimination: 3x+4y=7, 5x-8y=8

    Text Solution

    |

  4. Solve by the method of elimination: 5x-3y=16, 3x-y=12

    Text Solution

    |

  5. Solve by the method of substitution: 2x+3y=31, 17x-11y=8

    Text Solution

    |

  6. Solve by the method of substitution: ax+by=1, bx+ay=(a+b)^2/(a^2+b^2...

    Text Solution

    |

  7. Solve by the method of substitution: x+y=a+b, ax-by=a^2-b^2

    Text Solution

    |

  8. Solve by the method of cross multiplication: 8x+3y=1, 7x+4y=-6

    Text Solution

    |

  9. Solve by the method of cross multiplication: 2x+y=35, 3x+4y=65

    Text Solution

    |

  10. Solve by the method of cross multiplication: ax+by=a-b, bx-ay=a+b

    Text Solution

    |

  11. Solve by any method: (xy)/(x+y)=6/5, (xy)/(y-x)=6

    Text Solution

    |

  12. Solve by any method: (x+y)/(xy)=1, (x-y)/(xy)=65

    Text Solution

    |

  13. Solve by any method: x+2y=1.3, 3/(2x+5y)=1

    Text Solution

    |

  14. Solve by any method: 31x+43y=117, 43x+31y=105

    Text Solution

    |

  15. Solve by any method: 148x+231y=527, 231x+148y=610

    Text Solution

    |

  16. Solve by any method: ax+by=c, bx+ay=1+c

    Text Solution

    |

  17. Solve by any method: x+5y=36, (x+y)/(x-y)=5/3

    Text Solution

    |

  18. Solve by any method: x-y=0.9, 11/(2(x+y))=1

    Text Solution

    |

  19. Solve by any method: x/a+y/b=a+b, x/a^2+y/b^2=2

    Text Solution

    |

  20. Solve by any method: x/a+y/b=2, ax-by=a^2-b^2

    Text Solution

    |

  21. Word Problem of Numbers A number between 10 and 100 is equal to eigh...

    Text Solution

    |