Home
Class 11
MATHS
The upper 3//4^(th) portion of a vertica...

The upper` 3//4^(th)` portion of a vertical pole subtends an angle `"Tan"^(-1)(3//5)` at a point in the horizontal plane through its foot and at a distance 40 m from the foot . Given that the vertical pole is at a height less than 100m from the gound ,find its height .

Text Solution

Verified by Experts

The correct Answer is:
` 40 m `
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - 9.2 (VERY SHORT ANSWER QUESTIONS)|12 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - 9.2 ( SHORT ANSWER QUESTIONS)|9 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - 9.1 ( SHORT ANSWER QUESTIONS)|16 Videos

  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

The upper (3)/(4) the portion of a vertical pole subtends an angle Tan ^(-1) ""(3)/(5) at a point in the horizontal plane through its foot and at a distance 40m from the foot. Given that the vertical pole is at a height less than 100 m from the ground. then its height is

The upper 3/4th portion of a vertical pole subtends an angle tan^(-1)(3/5) at the point in the horizont plane through its foot. The tangent of the angle subtended by the pole at the same points is

A flag staff on the top of the tower 80 mt of height subtends an angle Tan^-1 (1//9) at a point on the ground 100 mt from the foot of the tower. The height of the flag staff is

A flag staff of the height (a-b) stands on the top of a tower subtends the same angle at the point on the horizontal plalne through the foot of the tower which are at distant a and b from the tower. The height of the tower is

A body is thrown horizontally from the top of a tower of 5 m height. It touches the ground at a distance of 10 m from the foot of the tower. The initial velocity of the body is

A flag staff on top of the tower 30mt of height subtends an angle of - tan^(-1)((1)/(3)) at a point on the ground 50mt from the foot of the tower. The height of the flag staff is

The angle of elevation of the top of a tree from a point at a distance of 200 m from its base is 60. The height of the tree is

AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - 9.1 ( LONG ANSWER QUESTIONS)
  1. b^(2) sin 2C + C^(2) sin 2B = 2 b sin A

    Text Solution

    |

  2. In a /\ABC if a^(2)+b^(2)+c^(2)=8R^(2) then show that/\ABC is a right ...

    Text Solution

    |

  3. If cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 then show that Delta A...

    Text Solution

    |

  4. If cot.(A)/(2)=(b+c)/(a) find angle B

    Text Solution

    |

  5. Show that cot ""(A)/(2) + cot "" ( B)/(2) + cot "" ( C ) /(2)...

    Text Solution

    |

  6. In DeltaABC,(cot(A//2)+cot(B//2)+cot(C//2))/(cotA+cotB+cotC)=

    Text Solution

    |

  7. Prove that tan.(A)/(2)+tan.(B)/(2)+tan.(C)/(2)=(bc+ca+ab-s^(2))/(Delta...

    Text Solution

    |

  8. In DeltaABC show that (a+b+c)(tan.(A)/(2)+tan.(B)/(2))=2cot.(C)/(2)

    Text Solution

    |

  9. If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) co...

    Text Solution

    |

  10. If a = (b-c) "sec" theta, then prove that tan theta = (2sqrt(bc))/(b-c...

    Text Solution

    |

  11. If cot.(A)/(2)+cot.(B)/(2)+cot.(C)/(2) are in A.P , then prove that a,...

    Text Solution

    |

  12. If tan ""(A)/(2) = (5)/(6) , tan "" (B)/(2) = ( 20 )/( 37) then s...

    Text Solution

    |

  13. If cot A/2:cot"" B/2: cot"" C/2 = 3:5:7 then show that a:b:c = 6:5:4.

    Text Solution

    |

  14. IF p1,p2,p3 are the lengths of the altitudes of a triangle from the ve...

    Text Solution

    |

  15. If p1 , p2 , p3 are the altitudes drawn from the vertices A,B, C of ...

    Text Solution

    |

  16. Two ships leave a port at the same time . One goes 24km per hour in th...

    Text Solution

    |

  17. A tree stands vertically on the slant of the hills From a point A on t...

    Text Solution

    |

  18. The upper 3//4^(th) portion of a vertical pole subtends an angle "Tan"...

    Text Solution

    |

  19. AB is a vertical pole with B at the ground level and and A at the top ...

    Text Solution

    |

  20. Let an object be placed at some height h cm and let p and Q be two poi...

    Text Solution

    |