Home
Class 12
MATHS
A man is moving away from a tower 41.6m ...

A man is moving away from a tower 41.6m high at a rate of `2ms^(-1)`. If the eye level of the man is 1.6m above the ground, then the rate at which the angle of elevation of the top of the tower changes, when he is at a distance of 30 m from the foot of the tower, is:

A

`-4/125` radian/s

B

`2/25` radian/s

C

`-1/625` radian/s

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 30

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|9 Videos
  • NTA TPC JEE MAIN TEST 37

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

A man is moving away from a tower 41.6m high at the rate of 2m/sec. Find the rate at which the angle of elevation of the top of tower is changing,when he is at a distance of 30m from the foot of the tower.Assume that the eye level of the man is 1.6m from the ground.

A man is moving away from a 40-m high tower at a speed of 2 m/s. Find the rate at which the angle of elevation of the top of the tower is changing when he is at a distance of 30 metres from the foot of the tower. Assume that the eye level of the man is 1.6 m from the ground.

From a point on the ground,20m away from the foot of a vertical tower,the angle of elevation of the top of the tower is 60o, what is the length of the tower?

80 m away from the foot of the tower, the angle of elevation of the top of the tower is 60^@ . What is the height (in metres) of the tower?

A tower of height 15 m stands vertically on the ground. From a point on the ground the angle of elevation of the top of the tower is found to be 30^(@) . What is the distance of the point from the foot of the tower?

A man whose eye leave is 1.5 meters above the ground observes the angle of elevation of the tower to be 60^(@). If the distance of the man from the tower be 10 meters, the height of the tower is

The angle of elevation of the top of a tower of height 100 sqrt(3) m from a point at a distance of 100 m from the foot of the tower on a horizontal plane is

What is the angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of a tower of height 10sqrt(3) m?

At a point 20 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ The height of the tower is

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 36-MATHEMATICS
  1. If l(1) and l(2) are lengths of two perpendicular focal chord of para...

    Text Solution

    |

  2. The straight lines 3x - 4y + 7 = 0 and 12x + 5y - 2 = 0 has equation o...

    Text Solution

    |

  3. A man is moving away from a tower 41.6m high at a rate of 2ms^(-1). If...

    Text Solution

    |

  4. A plane passes through (1,2,-2) and is perpendicular to two planes x-2...

    Text Solution

    |

  5. Let f : R to R and f(n)(x) = f(f(n-l)(x))AA n ge 2, n in N. Then the r...

    Text Solution

    |

  6. If y = e^(x) + sin x, then d^(2)x//dy^(2) is equal to:

    Text Solution

    |

  7. Let y = f(x) satisfies the differential equation (sin x)dy + (cos x)y ...

    Text Solution

    |

  8. Let f(y) = int(0)^(1) e^(x-y^(2)) (x^(3) - 2xy + 3x^(2) - 2y)dx, then ...

    Text Solution

    |

  9. If p:l study and q : I fail Then negation of T study or I fail' is:

    Text Solution

    |

  10. The standard deviation of a variate x is sigma. The standard deviation...

    Text Solution

    |

  11. (sin theta)/(cos theta) + (sin 2theta)/(cos^(2)theta) + (sin 3theta)/(...

    Text Solution

    |

  12. Difference of maximum and minimum value of : f(x) = sqrt(cos^(-1) [x...

    Text Solution

    |

  13. If n is a factor of 72, such that xy = n then number of ordered pairs ...

    Text Solution

    |

  14. Let a, p are the roots of the equation ax^(2) + bx + c =0 where beta =...

    Text Solution

    |

  15. If veca and vecb are perpendicular vectors with |veca| =2, | vecb| =3 ...

    Text Solution

    |

  16. Let alpha, beta in R be such that "lim"(x to 0)(x^(2) tan (ax))/(betax...

    Text Solution

    |

  17. ("lim")(n to infty) 1/(sqrt(n)sqrt(n+1)) + 1/(sqrt(n)sqrt(n+2)) +….. +...

    Text Solution

    |

  18. The number of non-differentiability points of function f defined as f(...

    Text Solution

    |

  19. The area enclosed between the curves y = ax^(2) and x = ay^(2)(a gt 0)...

    Text Solution

    |

  20. The last two digits of 2015! + 3^(2015) is:

    Text Solution

    |