Home
Class 11
MATHS
Two vehicles leave the same place P at t...

Two vehicles leave the same place P at the same time moving along two different roads. One vehicle moves at an average speed of 60km/hr and the other vehicle moves at an average speed of 80km/hr. After half an hour the vehicle reach the destinations A and B. If AB subtends `60^(@)` at the initial point. P, then find AB.

Text Solution

Verified by Experts

The correct Answer is:
`10sqrt(13)`km
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.11|6 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.12|21 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.9|16 Videos

  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise section -IV|7 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 Videos

Similar Questions

Explore conceptually related problems

Two trains leave a railway station at the same time. The first train travels due west and the second train due north . The first train travels at a speed of 20 km/ hr and the second train travels at 30 km/ hr. After 2 hours, what is the distance between them ?

A car covers the first half of the distance between two places at 40 km/hr and another half at 60 km/hr. The average speed of the car is

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

A car travels at a speed of 80 km/h during the first half of its running time and at 40 km/h during the other half. Find the average speed of the car. (60 km/h) ( AS_(7))

A circle of radius unity is centered at thet origin. Two particles tart moving at the same time from the point (1, 0) and move around the circle in opposite direction. One of the particle moves anticlockwise with constant speed v and the other moves clockwise with constant speed 3v . After leaving (1, 0) , the two particles meet first at a point P, and continue until they meet next at point Q . The coordinates of the point Q are

A cart A of mass 50 kg moving at a speed of 20 km/h hits a lighter cart B of mass 20 kg moving towards it at a speed of 10 km/h. The two carts cling to each other. Find the speed of the combined mass after the collision.

The length of the rod placed inside a rocket is measured as 1m by an observer inside the rocket which is at rest. When the rocket moves with a speed of 36 xx 10^(6) km//hr the length of the rod as measured by the same observer is :

SURA PUBLICATION-TRIGONOMETRY-EXERCISE 3.10
  1. Determine whether the following measurements produce one triangle, two...

    Text Solution

    |

  2. If the sides of DeltaABC are a = 4, b = 6 , c = 8 , then show that 4 c...

    Text Solution

    |

  3. In DeltaABC, if a = sqrt(3) - 1, b = sqrt(3) + 1 and angleC = 60^(@),...

    Text Solution

    |

  4. In any DeltaABC, prove that the area Delta = (b^(2) + c^(2) - a^(2))/(...

    Text Solution

    |

  5. In a DeltaABC, if a = 12 cm, b = 8 cm angleC = 30^(@), then show that ...

    Text Solution

    |

  6. In a DeltaABC, if a = 18 cm, b = 24 cm and c = 30 cm. then show that i...

    Text Solution

    |

  7. Two soldiers A and B in two different underground bunkers on a straigh...

    Text Solution

    |

  8. A researcher wants to determine the width of a pond from east to west,...

    Text Solution

    |

  9. Two Navy helicopters A and B are flying over the bay of Bengal at same...

    Text Solution

    |

  10. A straight tunnel is to be made through a mountain. A surveyor observe...

    Text Solution

    |

  11. A farmer wants to purchase a triangular shaped land with sides 120 fee...

    Text Solution

    |

  12. A fighter jet has to hit a small target by flying a horizontal distanc...

    Text Solution

    |

  13. A plane is 1 km from one landmark and 2 km from another. From the pla...

    Text Solution

    |

  14. A man starts his morning walk at a point A reaches two points B and C ...

    Text Solution

    |

  15. Two vehicles leave the same place P at the same time moving along two ...

    Text Solution

    |

  16. Suppose that a satellite in space, an earth station and the centre of ...

    Text Solution

    |