Home
Class 10
MATHS
Two persons are standing 'x' metres apar...

Two persons are standing 'x' metres apart from each other and the height of the first person is double that of the other. If from the middle points of the linejoining their their feet an observe finds the angular elevations of their tops to be complementary, then the height of the shorter person (in metres) is

A

`sqrt(2)`

B

`(x)/(2sqrt(2))`

C

`(x)/(sqrt(2))`

D

`2x`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise Unit test|12 Videos

  • RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise Unit Test|14 Videos

Similar Questions

Explore conceptually related problems

If the angle of elevation of the top of a tower at a distance 500 metres from its foot is 30^@ then the height of the tower is

A TV tower stands vertically on a bank of a canal. The tower is watched from a point on the other bank directly opposite to it. The angle of elevation of the top of the tower is 58^(@) . From another point 20m 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 canal . (tan 58^@ = 1.6003)

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.

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?

Two poles of equal heights are standing opposite to each other on either side of the road, which is 120 feet wide. From a point between them on the road, the angles of elevation of the top of the poles are 60^(@) and 30^(@) respectively. Find the height of the poles and the distances of the point from the poles.

Two buildings are in front of each other on a road of width 15 meters. Form the top of the first building, having a height of 12 meter, the angle of elelvation of the top of the second building is 30^@ . What is the height of the second building?

From the top of a tower the angle of depression of a point on the ground is 60^@ if the distance of this point to tower is (1)/( sqrt(3) +1) metres , then the height of the tower is

SURA PUBLICATION-ONE MARK QUESTIONS SET -Multiple Choice Question
  1. A man walks near a wall, such that the distance between him and the wa...

    Text Solution

    |

  2. The angle inclination of a line parallel to Y-axis is .

    Text Solution

    |

  3. Two persons are standing 'x' metres apart from each other and the heig...

    Text Solution

    |

  4. A frustum of a right circular cone is of height 16 cm with radii of it...

    Text Solution

    |

  5. If the sm of 10 data values is 265 then their mean is .

    Text Solution

    |

  6. A purse contains 10 notes of Rs. 2000, 15 notes of Rs. 500, and 25 not...

    Text Solution

    |

  7. A relation which contains no element is called a .

    Text Solution

    |

  8. Let f and g be two functions given by f={(0, 1), (2, 0), (3, -4), (4, ...

    Text Solution

    |

  9. Given F(1)=1, F(2)=3 and F(n)=F(n-1)+F(n-2) then F(3) is .

    Text Solution

    |

  10. Who is the " Father of Geometry"?

    Text Solution

    |

  11. Find the LCM of the given expressions. 4x^(2)y, 8x^(3)y^(2)

    Text Solution

    |

  12. The values of a and b if 4x^(4)-24x^(3)+76x^(2)+ax+b is a perfect squa...

    Text Solution

    |

  13. If number of columns and rows are not equal in a matrix then it is sai...

    Text Solution

    |

  14. If in triangles ABC and EDF, (AB)/(DE)=(BC)/(FD) then they will be sim...

    Text Solution

    |

  15. Consider four straight lines (i)l(1)=3y=4x+5 (ii)l(2):4y=3x-1 (iii...

    Text Solution

    |

  16. (2, 1) is the points of intersection of two lines

    Text Solution

    |

  17. If x=atan theta and y=b sec theta then

    Text Solution

    |

  18. In a hollow cylinder, the sum of the external and internal radii is 14...

    Text Solution

    |

  19. The sum of all deviations of the data from its mean is

    Text Solution

    |

  20. Which of the following is incorrect ?

    Text Solution

    |