Home
Class 10
MATHS
Two spotlights, P and Q are mounted on a...

Two spotlights, P and Q are mounted on a verticl pole AB as shown.
Light beams from P and Q shine to two points on the ground,
H and K respectively, given that PQ = 16 m, KB = 16 m
PH = 35 m and QK = 20m find

HK, the distance between the projections of the light beams.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    AGRAWAL PUBLICATION|Exercise EXAMPLE|124 Videos

Similar Questions

Explore conceptually related problems

Two spotlights, P and Q are mounted on a vertical pole AB as shown. Light beams from P and Q shine to two points on the ground, H and K, respectively. Given that PQ = 16m, KB = 16m, PH = 35m and QK = 20m, Find: HK, the distance between the projections of the light beams.

Given that PQ = 16 m, KB = 16 m, PH = 35 m and QK = 20 m, Find HK

Given that PQ = 16 m, KB = 16 m, PH = 35 m and QK = 20 m, Find: Find BQ.

A vertiacal pole is 60 m high, The angle of depression of two points P and Q on the ground are 30^(@) and 45^(@) respectively. If the points P and Q lie on either side of the pole, then find the distance PQ.

In A B C , points P and Q are on C A and C B , respectively such that C A=16 c m , C P=10 c m , C B=30 c m and C Q=25 c m . Is P Q ||A B ?

Let AP and BQ be two vertical poles at points A and B respectively.If AP=16m,BQ=22m and AB=20m then find the distance of a point R on AB from the point A such that RP^(2)+RQ^(2) is minimum.

Let AP and BQ be two vertical poles at points A and B, respectively. If A P" "=" "16" "m ," "B Q" "=" "22" "m" "a n d" "A B" "=" "20" "m , then find the distance of a point R on AB from the point A such that R P^2+R Q^2 is minimum.

The playground of our school is in the shape of a quadrilateral ABCD. A flagpost standing vertically in the ground subtends angles of 45^@ and 30^@ at two points P and Q, which lie on the sides AB and AD respectively such that AP = 50 m and AQ = 30 m. If P and Q are the nearest points on the sides AB and AD to the flagpost, then the height of the flagpost is :

AGRAWAL PUBLICATION-TRIANGLES-EXAMPLE
  1. Kitchen garden of Ms. Sanjana is in the form of a triangle as shown. S...

    Text Solution

    |

  2. Two spotlights, P and Q are mounted on a verticl pole AB as shown. Lig...

    Text Solution

    |

  3. Two spotlights, P and Q are mounted on a verticl pole AB as shown. Lig...

    Text Solution

    |

  4. triangle ABC ~ triangle DEF such that DE =3 cm, EF = 2 cm, DF = 2.5 cm...

    Text Solution

    |

  5. P and Q are the points on the sides DE and DF of a triangle DEF such t...

    Text Solution

    |

  6. Given that triangle PQR is similar to triangle BAR, find: the value of...

    Text Solution

    |

  7. In the given figure, find the value of x in terms of a,b and c.

    Text Solution

    |

  8. R and S are points on the sides DE and EF respectively of a triangle D...

    Text Solution

    |

  9. Prove that the sum of the squares of the sides of a rhombus is equal t...

    Text Solution

    |

  10. Areas of two similar triangles are 36 cm^2 and 100 cm^2. If the length...

    Text Solution

    |

  11. In triangle ABC ~ triangle DEF, AB = 4 cm, DE =6cm , EF = 9 cm and FD...

    Text Solution

    |

  12. In the figure if triangle ABC ~ triangle DEF and their sides of length...

    Text Solution

    |

  13. In the figure, if angle 1 = angle 2 and triangle NSQ = triangle MTR, t...

    Text Solution

    |

  14. Three 30^@ - 60^@ - 90^@ set squares are together as shown in the diag...

    Text Solution

    |

  15. Three 30^@ - 60^@ - 90^@ set squares are together as shown in the diag...

    Text Solution

    |

  16. In the figure, angle D = angle E and (AD)/(DB)=(AE)/(EC), prove that B...

    Text Solution

    |

  17. In triangle ABC, angle B = 90^@ and D is the mid point of BC. Prove th...

    Text Solution

    |

  18. Diagonals of a trapezium PQRS intersect each other at the point O, PQ|...

    Text Solution

    |

  19. In the figure, if AB||DC and AC, PQ intersect each other at the point ...

    Text Solution

    |

  20. In the given figure, if DE||BC, then find the ratio of ar(Delta ADE) a...

    Text Solution

    |