Home
Class 11
MATHS
A lamp post is sittuated at the middle p...

A lamp post is sittuated at the middle point M of the side AC of a triangular plot ABC with BC=m CA =8 m and AB =9 m. Lamp post subleds an anlgle `15^(@)` at the point B. The height of the lamp post is

Text Solution

Verified by Experts

The correct Answer is:
`7( 2- sqrt(3) )`
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

ABC is a triangular park with AB=AC=100 meters. A clock tower is situated at the mid point of BC. The angles of elevation of the tower at A and B are cot^(1) (3.2) and "cosec "^(-1)(2.6) respectively. The height of the tower is

If M and N are the mid - points of the sides BC and CD respectively of a parallelogram ABCD, then AM + AN equals

A Person 1.65 m m tall casts 1.8 m shadow. AT the same instance, a lamp post casts a shadow of 5.4 m. Find the height of the lamp-post.

OPQR is a square and M,N are the middle points of sides PQ and QR respectively then the ratio of the area of the square and the triangle OMN is

AB is vertical pole with B at ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^(@) . He moves away from the pole along the line BC to a point D such that CD =7 m. From D the angle of elevation of the point A is 45^(@) then the hight of the pole is

AB is a vertical pole with B at the ground level and and A at the top .A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^(@) . He moves away from the pole along the line BC to a point D such that CD = 7 m .From D . the angle of elevation of the point A is 45^(@) .Find the height of the pole .

Two posts are 15 m and 25m high and the line joining their tope make an angle of 45^(@) with the horizontal, the distance between the two posts is

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

    |