Home
Class 10
MATHS
CASE STUDY 3 A boy is standing on the ...

CASE STUDY 3
A boy is standing on the top of light house. He observed that boat P and boat Q are approaching the light house from opposite directions. He finds that angle of depression of boat P is `45°` and angle of depression of boat Q is `30°`. He also knows that height of the light house is 100 m.
Based on the above information, answer the following questions.
(i) What is the measure of `angle APD`?
(ii) If `angle YAQ = 30°`, then `angle AQD` is also `30°`, Why?
(iii) Find length of PD
(iv) Find length of DQ

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2023 TERM I

    CBSE MODEL PAPER|Exercise SECTION-E|7 Videos

Similar Questions

Explore conceptually related problems

From a window ( h meter above ground) the angle of elevation of other house is theta and angle of depression is phi. Find the height of the house.

From the top of a light house 60 metre high, with its base at the sea leave, the angel of depression of a boat is 30^(@) . The distance of the boat from the foot of the light - house is

The height of a light house is 40 m. The angle of depression of a ship from the top of the light house is 60^(@) . Find the distance of ship from the light house.

From the top of a light -house at a height 20 metres above sea -level,the angle of depression of a ship is 30^(@) .The distance of the ship from the foot of the light house is

From the top of a light house, the angles of depression of two stations on opposite sides of it at a distance a apart are alpha and beta . Find the height of the light house.

From the top of a lighthouse 70 m high with its base at sea level, the angle of depression of a boat is 15^(@) . The distance of the boat from the foot of the lighthouse is :

From the top of a lighthouse 70 m high with its base at sea level, the angle of depression of a boat is 15^(@). The distance of the boat from the foot of the lighthouse is

CBSE MODEL PAPER-SAMPLE PAPER 2024-Question
  1. CASE STUDY 1 India is competitive manufacturing location due to the ...

    Text Solution

    |

  2. CASE STUDY 2 Alia and Shagun are friends living on the same street i...

    Text Solution

    |

  3. CASE STUDY 3 A boy is standing on the top of light house. He observe...

    Text Solution

    |

  4. If two positive integers a and b are written as a = x^3y^2 and b = xy^...

    Text Solution

    |

  5. The given linear polynomial y = f(x) has

    Text Solution

    |

  6. The lines representing the given pair of linear equations are non-inte...

    Text Solution

    |

  7. The nature of roots of the quadratic equation 9x^2 – 6x – 2 = 0 is:

    Text Solution

    |

  8. Two APs have the same common difference. The first term of one of the...

    Text Solution

    |

  9. What is the ratio in which the line segment joining (2,-3) and (5, 6) ...

    Text Solution

    |

  10. A point (x, y) is at a distance of 5 units from the origin. How many s...

    Text Solution

    |

  11. In Delta ABC, DE norm AB. If AB = a, DE = x, BE = b and EC = c. T...

    Text Solution

    |

  12. If O is centre of a circle and Chord PQ makes an angle 50° with the ta...

    Text Solution

    |

  13. A quadrilateral PQRS is drawn to circumscribe a circle. If PQ = 1...

    Text Solution

    |

  14. If sintheta=a/b, then costheta is equal to

    Text Solution

    |

  15. (sec A + tan A) (1 – sin A) equals:

    Text Solution

    |

  16. A pole of height 6 m casts a shadow 2sqrt3 m long on the ground. Find ...

    Text Solution

    |

  17. If the perimeter and the area of a circle are numerically equal, then ...

    Text Solution

    |

  18. If is proposed to build a single circular park equal in area to the su...

    Text Solution

    |

  19. There is a square board of side ‘2a’ units circumscribing a red circle...

    Text Solution

    |

  20. 2 cards of hearts and 4 cards of spades are missing from a pack of 52 ...

    Text Solution

    |