Home
Class 10
MATHS
From the top of a light house, 80 metres...

From the top of a light house, 80 metres high, two ships on the same side of light house are observed. The angles of depression of the ships as seen from the light house are found to be of `45^@` and `30^@`. Find the distance between the two ships. (Assume that the two ships and the bottom of the lighthouse are in a line)

Promotional Banner

Topper's Solved these Questions

  • Arithmetic Progression

    CHETANA PUBLICATION|Exercise EXERCISE|73 Videos
  • BASIC CONCEPTS IN GEOMETRY

    CHETANA PUBLICATION|Exercise EXAMPLE|14 Videos

Similar Questions

Explore conceptually related problems

The angle of depression of a ship as observed from the top of a lighthouse is 45^(@) . If the height of the lighthouse is 200 m , then what is the distance of the ship from the foot of the lighthouse ?

(10) A straight road leads to the foot of a tower of height 50m. From the top of the tower, the angle of depression of two cars standing on the road are 30^@ and 60^@ . What is the distance between the two cars?

From the top of a building 60m high the angles of depression of the top and the bottom of a tower are observed to be 30^0 and 60^0 . Find the height of the tower.

From the top of a lighthouse, an observer looking at a ship makes an angle of depression of 60^@ . If the height of the lighthouse is 90 metre, then find how far the ship is from the lighthouse. ( sqrt3 = 1,73 )

From the top of a lighthouse, an observer looks at a ship and finds the angle of depression to be 30^@ . If the height of the lighthouse is 100 m, then find how far is that ship from the lighthouse.

(8) From the top of a lighthouse, an observer looks at a ship and finds the angle of depression to be 60^@ . If the lighthouse is 90 m, then find how far is that ship from the lighthouse? (sqrt3 = 1.73)

(12) From a point on the roof of a house, 11m high, it is observed that the angles of depression of the top and foot of a lamp ost are 30^@ and 60^@ respectively. What is the height of the lamp post?

The horizontal distance between two poles is 15m. The angle of depression of the top of the first pole as seen from the top of the second pole is 30^o . If the height of the second pole is 24 m, find the height of the first pole. (sqrt(3)=1. 732)

A ship of height 24 m is sighted from a lighthouse. From the top of the lighthouse the angle of depression to the top of the mast and base of the ship is 30^@ and 45^@ respectively. How far is the ship from the lighthouse ? ( sqrt3 = 1.73 )

(11) A ship of height 24m is sighted from a lighthouse. From the top of the lighthouse, the angle of depression to the top of the mast and base of the ship is 30^@ and 45^@ respectively. How far is the ship from the lighthouse? (sqrt3 = 1.73)

CHETANA PUBLICATION-Arithmetic Progression-EXERCISE
  1. From the top of a light house, 80 metres high, two ships on the same s...

    Text Solution

    |

  2. The sequence -10,-6,-2,2,….. a)is an A.P, Reason d=-16 b)is an A.P, Re...

    Text Solution

    |

  3. First four terms of an A.P are…………, whose first term is -2 and common ...

    Text Solution

    |

  4. What is the sum of first 30 natural numbers? a)464 b)465 c)462 d)461

    Text Solution

    |

  5. For a given A.P., t7=4, d=-4 then a=……… a)6 b)-7 c)20 d)28

    Text Solution

    |

  6. For a given AP, a=3.5, d=0, n=101 then tn=………. a)0 b)103.5 c)104.5 d)...

    Text Solution

    |

  7. In an A.P, first two terms are -3, 4, then 21st term is……….a)-143 b)14...

    Text Solution

    |

  8. If for an A.P, d=5 then t18-t13=……………a)5 b)20 c)25 d30

    Text Solution

    |

  9. Sum of first five multiples of 3 is……a)45 b)15 c)55 d)35

    Text Solution

    |

  10. 15, 10, 5,…… In this A.P the sum of first 10 terms is…..a)-75 b)-125 c...

    Text Solution

    |

  11. In an A.P, 1st term is 1 and the last term is 20.The sum of all terms ...

    Text Solution

    |

  12. For the A.P: 4,9,14…… t11=…..a)49 b)54 c)59 d)44

    Text Solution

    |

  13. If a=6, d=3, then S10=……a)192 b)195 c)198 d)201

    Text Solution

    |

  14. The sum of first 10 natural numbers is ..... a)55 b)155 c)310 d)210

    Text Solution

    |

  15. Which of the following sequence is not an A.P? a)0.5,2,3.5,5,…. b)3,5,...

    Text Solution

    |

  16. Find the missing term in the A.P: -5, ...., 13 a)1 b)4 c)2 d)3

    Text Solution

    |

  17. Find the t2 of the sequence for which S1=2,S2=12 and S3=30 a)24 b)1 c)...

    Text Solution

    |

  18. For an A.P if t4=12 and d=-10, then find a. a)-18 b)42 c)-5 d)21

    Text Solution

    |

  19. The next two terms of the given sequence 1,3,7,15,31….. are: a)42, 54 ...

    Text Solution

    |

  20. In an A.P, a=8, tn=62, Sn=210, then find n. a)5 b)6 c)7 d)8

    Text Solution

    |

  21. The sum of first n terms of an A.P. is Sn=………… a)n/2[t1+tn] b)n/2[2+(n...

    Text Solution

    |