Home
Class 10
MATHS
If the angle of depression of two consec...

If the angle of depression of two consecutive kilometer stones on a road from an aeroplane are `60^@` and `30^@` respectively. Find the height of the areroplance when the two kilometre stones stand on the same side of aeroplane.

Text Solution

Verified by Experts

`500 sqrt3` metres
Promotional Banner

Topper's Solved these Questions

  • RIGHT CIRCULAR CYLINDER

    CALCUTTA BOOK HOUSE|Exercise Exercise - 2 (Long-answer type questions)|11 Videos
  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos

Similar Questions

Explore conceptually related problems

If the angle of depression of two consecute kilometer stones on a road from an aeroplane are 60^@ and 30^@ respectively, then find the height of the aeroplane when two km stones stand on the same side of the aeroplane.

If the angle, fo depression of two conseutive mile stones on a road from an aeroplane are 60^(@) and 30^(@) respectively. Find the height of the aeroplane, (i) when the two mile stone stand on opposite side of the aeroplane, (ii) when the two stones stand on the same side of the aeroplane.

If the angle of depression of two consecutive km stones on a road from an aeroplane are 60^@ and 30^@ respectively, then find the height of the aeroplane when the two km stones on the same side of the aeroplane.

From an aeroplane vertically above a straight road the angles of depression of two consecutive mile stones on the road are observed to be 45^@ and 30^@ . Find the height of the aeroplane above the road.

A passenger of an aeroplane observes that Howrah station is at one side of the plane and Saheed minar is just one the opposite side. The angles of depression of Howrah station and Saheed minar from the passenger of aeroplane are 60^@ and 30^@ respectively. If the aeroplane is at a height of 545sqrt3 metres at that time, then find the distance between Howrah Stateion and Sahed minar.

The angles of depression of the top and bottom of 8 m tall tower from a cliff are 30^@ and 45^@ respectively. Which of the following will be the height of the cliff?

A passanger of an aeroplane observes that Howrah station is at one side of the plne and Saheed Minar is just on the opposite side. The angles fo depression of Howrah station and Saheed Minar from the passanger of aeroplane are 60^(@) and 30^(@) respectively. If the aeroplane is at a height of 545sqrt(3) metres at that time, find the distance between Howrah station and Saheed Minar.

The angle of depression of two boatsm as observes from the masthead of a ship, 50m high, are 45^@ and 30^@ , respectively. The distance between the boats, if they are on the same side of the masthead, is

A passenger in an aeroplane flying over a straight road observed two consecutive milestones, 1km apart on the straight road at 60^@ and 30^@ angle of depression respectively. Find the height of the plane from the road at that time.

CALCUTTA BOOK HOUSE-SAMPLE QUESTIONS PAPERS-QUESTION
  1. The tens' digit of a two digit number is less by 3 than the unit digit...

    Text Solution

    |

  2. The price of a diamond is ₹ 2000. The diamond is broken into two pies...

    Text Solution

    |

  3. If x=3+2sqrt2, then find the value of (sqrtx -""1/sqrtx)

    Text Solution

    |

  4. If a+1/b = 1 and b+1/c=1 then prove that c+1/a =1

    Text Solution

    |

  5. If a, b, c be in continued proportional, then prove that a^2 b^2 c^2 (...

    Text Solution

    |

  6. Prove that angles in the same segment of a circle are equal.

    Text Solution

    |

  7. Prove that if two tangents are drawn to a circle from a point outside ...

    Text Solution

    |

  8. ABCD is a parallelogram. A circle passing through C and D intersects A...

    Text Solution

    |

  9. Construct a circle of radius 2*6cm. Take a point outside of this circl...

    Text Solution

    |

  10. The length of radius of a circle is 21 cm. Determine the cfircular and...

    Text Solution

    |

  11. Find the value : (tan^2 60^@+tan30^@)/(1+tan^2 60^@+tan30^@)+cos 60^@ ...

    Text Solution

    |

  12. If /A + /B = 90^@ then prove that 1+(tan A)/(tan B) = "cosec"^2 B

    Text Solution

    |

  13. If the angle of elevation of the top of a chimney from a point on the ...

    Text Solution

    |

  14. If the angle of depression of two consecutive kilometer stones on a ro...

    Text Solution

    |

  15. How many solid sphere of radius 10*5 cm each can be mad by melting a s...

    Text Solution

    |

  16. To prepare a tent of shaped a right circular cone, it needs 77 sq-metr...

    Text Solution

    |

  17. The external diameter of a gold - sphere is 12 cm and it is made of a ...

    Text Solution

    |

  18. If x1 and x2be any two positive variables and if the arithmetic mean ...

    Text Solution

    |

  19. prove thatsqrt108 -sqrt75=sqrt3

    Text Solution

    |

  20. Find the addition of (2+sqrt3) and (2-sqrt3)

    Text Solution

    |