Home
Class 12
MATHS
A man is walking towards a vertical pill...

A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is `30^0` . After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is`60^0` . Then the time taken (in minutes) by him, from B to reach the pillar, is : (1) 6 (2) 10 (3) 20 (4) 5

A

20

B

5

C

6

D

10

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-1|70 Videos
  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos
  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

A man is walking towards a vertical pillar in a straight path at a uniform speed. At a certain point A on the path, he observes that the angle of elevationof the top of the pillar is 30^(@) . After walking for 5(sqrt3+1) minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 45^(@) . Then the time taken (in minutes) by him, to reach from B to the pillar, is (take sqrt3=1.73 )

The angle of elevation of the top of a hill from a point is alpha . After walking b metres towards the top up of a slope inclined at an angle beta to the horizon, the angle of elevation of the top becomes gamma . Then , the height of the hill is

A person standing at the foot of a tower walks a distance of 3 meters from the tower and observes that the angle of elevation of the top of the tower is 30^(@) . He then walks a distance 4 meters perpendicular to the previous direction and observes the angle of elevation to be beta . Then, cos 2beta is equal to

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60^(@) and where he retires 40 meters away from the tree the angle of elevation becomes 30^(@). The breadth of the river is

A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is 60^(@) and where he retires 40 meters away from the tree the angle of elevation becomes 30^(@). The breadth of the river is

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 40sqrt3 m towards the tower, the angle of elevation becomes 60^(@) . Find the height of the tower.

A man standing on the bank of a river observes that the angle of elevation of the top of a tree just on the opposite bank is 60^(@). The angle of elevation is 30^(@) from a point at a distance y m from the bank. What is the height of the tree?

The angle of elevation of the top of a vertical tower from a point on the ground is 60. From another point 10m vertically above the first, its angle of elevation is 30. Find the height of the tower.

A person observed the angle of elevation of the top of a tower as 30o. He walked 50m towards the foot of the tower along level ground and found the angle of elevation of the top of the tower as 60o. Find the height of the tower.

DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2
  1. A man is walking towards a vertical pillar in a straight path, at a ...

    Text Solution

    |

  2. The expression (1 + sin 2 alpha )/( cos (2 alpha - 2pi) tan (alpha - (...

    Text Solution

    |

  3. Solve the inequality, cosxle-1/2.

    Text Solution

    |

  4. Two men are on the opposite sides of a tower. They measure the angles ...

    Text Solution

    |

  5. The range of vlaues of the expression 5 cos theta + 3 cos (theta + (pi...

    Text Solution

    |

  6. The value of (1-tan^2 1 5^(@))/(1+tan^2 1 5^(@)) is

    Text Solution

    |

  7. Which pairs of function is identical ?

    Text Solution

    |

  8. If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...

    Text Solution

    |

  9. If tan ((pi)/(4) + theta) + tan ((pi )/(4) - theta) = p sec 2 theta) t...

    Text Solution

    |

  10. Period of sin theta - sqrt2 cos theta is

    Text Solution

    |

  11. tan^(6)20^(@) - 33tan^(2) 20^(@) + 27 tan^(2) 20^(@) + 4=

    Text Solution

    |

  12. Which of the following is correct ?

    Text Solution

    |

  13. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

    Text Solution

    |

  14. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

    Text Solution

    |

  15. The value of sin ""(pi)/(16) sin ""(3pi)/(16) sin ""(5pi)/(16) sin ""(...

    Text Solution

    |

  16. General solution of the equation 2 cot ^(2) theta + 2sqrt3 cot theta...

    Text Solution

    |

  17. A man observe that was he has climbed up 1/3 of the length of an incli...

    Text Solution

    |

  18. The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is

    Text Solution

    |

  19. If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2, then ...

    Text Solution

    |

  20. The domain of f(x)= sqrt(cos(sinx))+sqrt(logx{x}) where {x} denotes fr...

    Text Solution

    |

  21. The range of f(x) = cos x - sin x is

    Text Solution

    |