Home
Class 11
MATHS
Two ships leave a port at the same time ...

Two ships leave a port at the same time . One goes 24km per hour in the direction ` N45^(@) ` E and other travels 32km per hour in the direction ` S 75 ^(@) E. ` Find the distance between the ships at the end of 3 hours

Text Solution

Verified by Experts

The correct Answer is:
86.4 km
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) I.|5 Videos
  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(b) ) II.|6 Videos
  • PROPERTIES OF TRIANGLES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES ( EXERCISE - 10(a) ) II.|14 Videos
  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos
  • STRAIGHT LINE

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE-3(e)) |32 Videos

Similar Questions

Explore conceptually related problems

Two ships leave a port at the same time . One goes 24km per hour in the direction N45^(@) E and other travels 32km per hour in the direction S 75 ^(@) E. then the distance between the ships at the end of 3 hours

The straight roads intersect at angle of 60^@ . A bus on one road is 2km. Away from the intersection and a car on the other road is 3 km. away from the intersection. Then the direct distance between the two vehicles is

Places A and B are 150 km apart on a highway. One car starts from A and another from B at the same time at different speeds. If the cars travel in the same direction, they meet in 6 hours. If they travel towards each other, they meet in 2 hours. What are the speeds of the two cars?

Places A and B are 120 km apart on a highway. One car starts from A and another from B at the same time at different speeds. If the cars travel in the same direction, they meet in 1 hour. If they travel towards each other, they meet in 2 hours. What are the speeds of the two cars?

Places A and B are 100 km apart on a highway. One car starts from A and another from B at the same time at different speeds. If the caras travel in the same direction, they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What are the speeds of the two cars?

Two trains leave a railway station at the same time. The first train travels towards west and the second train towards north. The first train travels 5 km/hr faster then the second train. If after two hours they are 50 km. apart, find the average speed of each train.

An observer flying in an aeroplane at an altitude of 900 m observes two ships in front of him, which are in the same direction at an angles of depression of 60^(@)" and "30^(@) respectively. Find the distance between the two ships.

An observe flying in an aeroplane at an altitude of 1500 m observes two ships in front of him. Which are in the same direction at an angles of depression of 60^@ and 30^@ respectively. Find the distance between two ships.

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-PROPERTIES OF TRIANGLES-TEXTUAL EXERCISES ( EXERCISE - 10(a) ) III.
  1. In Delta ABC, sum (a+b) tan ((A-B)/2)=

    Text Solution

    |

  2. b-c // b+c cot A/2 + b+c // b-c tan A/2 = 2 cosec (B-C)అని చూపండి.

    Text Solution

    |

  3. If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) co...

    Text Solution

    |

  4. If a=(b+c)costheta, " then prove that" sintheta=(2sqrt(bc))/(b+c)cos((...

    Text Solution

    |

  5. In Delta ABC, b cos (C+ theta)+c cos (B- theta)=

    Text Solution

    |

  6. If the angles of triangles ABC are in A.P. and b: c= sqrt3 : sqrt2 "...

    Text Solution

    |

  7. If (a^(2)+b^(2))/(a^(2)-b^(2))=(sinC)/(sin(A-B)) , then S.T . DeltaAB...

    Text Solution

    |

  8. In Delta ABC, if cos A+cos B+ cos C=3//2, then the triangle is

    Text Solution

    |

  9. If cos ^(2) A + cos ^(2) B = cos ^(2) C = 1 then show that Delta A...

    Text Solution

    |

  10. In a /\ABC if a^(2)+b^(2)+c^(2)=8R^(2) then show that/\ABC is a right ...

    Text Solution

    |

  11. In Delta ABC , if cot "" (A)/(2) , cot "" ( B)/(2) , cot "" (C )/(2...

    Text Solution

    |

  12. If sin^(2).(A)/(2)+sin^(2).(B)/(2)+sin^(2).(C)/(2) are in H.P , show t...

    Text Solution

    |

  13. C=90^(0) అయితే, (a^(2) + b^(2) // a^(2) - b^(2)) sin (A- B) =1 అని నిర...

    Text Solution

    |

  14. a^(2) sin 2C + c ^(2) sin 2A =

    Text Solution

    |

  15. A lamp post is sittuated at the middle point M of the side AC of a tri...

    Text Solution

    |

  16. Two ships leave a port at the same time . One goes 24km per hour in th...

    Text Solution

    |

  17. A tree stands vertically on the slant of the hills From a point A on t...

    Text Solution

    |

  18. The upper 3//4^(th) portion of a vertical pole subtends an angle "Tan"...

    Text Solution

    |

  19. AB is vertical pole with B at ground level and A at the top. A man fi...

    Text Solution

    |

  20. Let an object be placed at some height h cm and let P and Q two points...

    Text Solution

    |