Home
Class 12
MATHS
An arc of a bridge is semi-elliptical wi...

An arc of a bridge is semi-elliptical with major axis horizontal. If the length of the base is 9 m and highest part of the bridge is 3 m from the base, then what will be the best approximation of the height of the arch 2 m from the centre of the base?

A

`(11)/(4) m `

B

`(8)/(3) m`

C

`(7)/(2) m`

D

`2m`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 120

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos
  • NTA TPC JEE MAIN TEST 30

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|9 Videos

Similar Questions

Explore conceptually related problems

In a model, it is shown that an arc of a bridge in semi-elliptical with major axis horizontal. If the length of the base is 9 m and the highest part of the bridge is 3 m from the horizontal, the best approximation of the height of the arch at 2 m from the centre of the base is

An arc of a bridge is semi-elliptical with the major axis horizontal.If the length of the base is 9m and the highest part of the bridge is 3m from the horizontal,then prove that the best approximation of the height of the acr 2m from the center of the base is (8)/(3)m.

In a model, it is shown that an arc of a bridge is semi elliptical with major axis horizontal. If the length of the base is 9m and the highest part of the bridge is 3m from the horizontal, then the height of the arch, 2m from the centre of the base is (in meters)

If the horizontal distance of the boat from the bridge is 25 m and the height of the bridge is 25 m, then find the angle of depression of the boat from the bridge.

The angle of elevation of the top of a flag post from a point 5 m away from its base is 75^(@) . What is the approximate height of the flag post?

The angle of elevation of the top of a flag post from a point 5 m away from its base is 75^(@). What is the approximate height of the flag post?

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 124 -MATHEMATICS
  1. The function f : R to R defined by f (x) = |x| is :

    Text Solution

    |

  2. Statement 1: The range of the function y = (ax + b )/( cx +d) (ad - ...

    Text Solution

    |

  3. Lagrange's mean value theorem is not applicable to which of the follow...

    Text Solution

    |

  4. Which of the following options is most relevant? Statement 1: The ta...

    Text Solution

    |

  5. The value of the integral int ( "cosec x")/( cos ^(2) (1 + log tan "...

    Text Solution

    |

  6. Find the value of int (0) ^( 2pi) sin ^(4) x dx

    Text Solution

    |

  7. An arc of a bridge is semi-elliptical with major axis horizontal. If t...

    Text Solution

    |

  8. Suppose L be the line which lies in the family of straight lines ( a...

    Text Solution

    |

  9. If (dy)/(dx) = ( xy)/( x ^(2) + y ^(2)) , y (1) = 1 and y (x (0)) = e,...

    Text Solution

    |

  10. If the quadratic equations k ( 6x ^(2) + 3) + rx + 2x ^(2) - 1 = 0 a...

    Text Solution

    |

  11. If p = (3)/(4) + (3.5)/( 4. 8) + ( 3.5.7)/(4.8.12) + ... oo , find p ...

    Text Solution

    |

  12. If one of the roots of the equation 6x ^(2) + kx + 6 = 0, k gt 0, is s...

    Text Solution

    |

  13. Let a (1), a (2), a (3),... be A.P. and g (1) , g (2) , g (3),... b...

    Text Solution

    |

  14. If |x + 4|^(2) - | z - 4| ^(2) = 8, then find Re (z)

    Text Solution

    |

  15. Evaluate lim ( x to 0) ( x tan 2x - 2x tan x )/( (1 - cos 2x ) ^(2))

    Text Solution

    |

  16. If int (dx)/(5 + 4 cos x ) = (m)/(n) Arc tan [ (p)/(q) (g ((x)/(2))) ]...

    Text Solution

    |

  17. The area bounded by the curves y = ln x, y = ln |x|, y = | ln x| and...

    Text Solution

    |

  18. If tan ^(-1) ((1)/(2)) + tan ^(-1) ((2)/(3x)) + tan ^(-1) ((3)/(4)) = ...

    Text Solution

    |

  19. A circle touching both the coordinates axes, having centre in the firs...

    Text Solution

    |

  20. Two teams A and B have the same mean and their coefficients of variati...

    Text Solution

    |