Home
Class 12
MATHS
Let an object be placed at some height h...

Let an object be placed at some height h cm and let P and Q two points of observation which are at a distance 10 cm a part on a line inclined at angle 15° to the horizontal. If the angles of elevation of the object from P and Q are `30^@ and 60^@` respectively then find h.

Text Solution

Verified by Experts

The correct Answer is:
`5sqrt(2)cm`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise SAQ (1D STAR Q)|18 Videos
  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ|20 Videos
  • PRODUCT OF VECTORS

    SRISIRI PUBLICATION|Exercise SPQ|15 Videos
  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - C|36 Videos

Similar Questions

Explore conceptually related problems

Two poles of equal height are standing opposite to each other on either sidef of the road, which is 120 feet wide. From a point between then on the road, the angles of elevation of the top of the poles are 60^(@)" and "30^(@) respectively. Find the height of the poles and the distances of the point from the poles.

An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image.

A right circular cylindrical tower, height 'h' and radius 'r', stands on the ground. Let 'P' be a point in the horizontal plane ground and ABC be the semi-circular edge of the top of the tower such that B is the point in it nearest to P. The angles of elevation of the points A and B are 45^(@)" and "60^(@) respectively. Show that (h)/(r)=(sqrt(3)(1+sqrt(3)))/(2) .

Two men on either side of a temple of 30 meter height observe its top at the angles of elevation 30^(@)" and "60^(@) respectively. Find the distance between the two men.

Two poles of equal height are standing opposite to each other on either side of the road, which is 80 m wide. From a point between then on the road, the angles of elevation of top of the poles are 60^(@)" and "30^(@) . Find the height of poles.

Two objects P and Q are placed at 10 cm and 30 cm infront of a convex lens of focal length 20 cm. The correct option for the image of P and Q is

The angles of elevation of a tower from two points which are at distances h_1 and h_2 from the foot of the tower on the same side are complementary. The height of the tower is

The sides of a right angle triangle PQR are PQ = 7cm , PR =25 cm and angle Q = 90 ^(@) respectively , Then find tan P -tan R

SRISIRI PUBLICATION-PROPERTIES OF TRIANGLES-LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)
  1. Let an object be placed at some height h cm and let P and Q two points...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. In DeltaABC" show that "suma^(3)cos(B-C)=3abc

    Text Solution

    |

  5. In DeltaABC" prove that "cos^(2).(A)/(2)+cos^(2).(B)/(2)+cos^(2).(C)/...

    Text Solution

    |

  6. If P(1),P(2),P(3) are the altitudes of the DeltaABC then , show that ...

    Text Solution

    |

  7. In DeltaABC" prove that "(b-c)^(2)cos^(2).(A)/(2)+(b+c)^(2)sin^(2).(A)...

    Text Solution

    |

  8. Show that (c-bcosA)/(b-c"cos"A)=(cosB)/(cosC)

    Text Solution

    |

  9. If b +c =3a , then find the value of cot.(B)/(2)cot.(C)/(2)

    Text Solution

    |

  10. Show that 2("bc"cosA+"ca"cosB+"ab"cosC)=a^(2)+b^(2)+c^(2).

    Text Solution

    |

  11. Prove that a(bcosC-c"cos"B)=b^(2)-c^(2)

    Text Solution

    |

  12. If a=26,b-30,cosC=63//65 , then find c

    Text Solution

    |

  13. If tan.(A)/(2)=(5)/(6)andtan.(C)/(2)=(2)/(5) then determine the relati...

    Text Solution

    |

  14. Prove that (a^(2)+b^(2)-c^(2))/(c^(2)+a^(2)-b^(2))=(tanB)/(tanC)

    Text Solution

    |

  15. What is the value of r/R in an equilateral triangle .

    Text Solution

    |

  16. If rr(2)=r(1)r(3)then find B.

    Text Solution

    |

  17. Express sumr(1)cot.(A)/(2) interms of s .

    Text Solution

    |

  18. Show that rr(1)cot.(A)/(2)=Delta.

    Text Solution

    |

  19. In DeltaABC , show that the sides a, b, c are in A.P ., if and only if...

    Text Solution

    |

  20. If the lengths of the sides of a triangle are 3 , 4,5 find the circumr...

    Text Solution

    |

  21. If the sides of a triangle are 13,14,15 , then find circum diameter .

    Text Solution

    |