Home
Class 10
MATHS
(11) A ship of height 24m is sighted fro...

(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)`

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

(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?

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.

From the top of a lighthouse, an observer looking at a boat makes an angle of depression of 60^(@) . If the height of the lighthouse is 90m , then find how far is the boat from the lighthouse. (sqrt(3)=1.73)

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.

(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?

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 ?

An observer at a distance of 10 m from a tree looks at the top of the tree , the angle of elevation is 60^(@) . What is the height of the tree ? ( sqrt(3) = 1 .73 )

From the top of a building , an observer is looking at a scooter parked at some distance away , makes an angle of depression of 30^(@) . If the height of the building is 40 m , find how far the scooter is from the building. (sqrt(3) = 1.73)

CHETANA PUBLICATION-Arithmetic Progression-EXERCISE
  1. (11) A ship of height 24m is sighted from a lighthouse. From the top o...

    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

    |