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:
but height of pole should be less than 100 `therefore` h = 40 m.
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) I.|5 Videos

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) II.|6 Videos

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(a) ) II.|14 Videos

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos

  • STRAIGHT LINE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-3(e)) |32 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

The upper part of a tree is broken by wind and makes an angle of 30^(@) with the ground and at a distance of 21m from the foot of the tree. Find the total height of the tree.

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PROPERTIES OF TRIANGLES-TEXTUAL EXERCISES ( EXERCISE - 10(a) ) III.
  1. In Delta ABC, sum (a+b) tan ((A-B)/2)=

    Text Solution

    |

  2. b-c // b+c cot A/2 + b+c // b-c tan A/2 = 2 cosec (B-C)అని చూపండి.

    Text Solution

    |

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

    Text Solution

    |

  4. If a=(b+c)costheta, " then prove that" sintheta=(2sqrt(bc))/(b+c)cos((...

    Text Solution

    |

  5. In Delta ABC, b cos (C+ theta)+c cos (B- theta)=

    Text Solution

    |

  6. If the angles of triangles ABC are in A.P. and b: c= sqrt3 : sqrt2 "...

    Text Solution

    |

  7. If (a^(2)+b^(2))/(a^(2)-b^(2))=(sinC)/(sin(A-B)) , then S.T . DeltaAB...

    Text Solution

    |

  8. In Delta ABC, if cos A+cos B+ cos C=3//2, then the triangle is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. In Delta ABC , if cot "" (A)/(2) , cot "" ( B)/(2) , cot "" (C )/(2...

    Text Solution

    |

  12. If sin^(2).(A)/(2)+sin^(2).(B)/(2)+sin^(2).(C)/(2) are in H.P , show t...

    Text Solution

    |

  13. C=90^(0) అయితే, (a^(2) + b^(2) // a^(2) - b^(2)) sin (A- B) =1 అని నిర...

    Text Solution

    |

  14. a^(2) sin 2C + c ^(2) sin 2A =

    Text Solution

    |

  15. A lamp post is sittuated at the middle point M of the side AC of a tri...

    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 vertical pole with B at ground level and A at the top. A man fi...

    Text Solution

    |

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

    Text Solution

    |