Home
Class 10
MATHS
The straight roads intersect at an angle...

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

A

1 km

B

`sqrt(2) km`

C

4 km

D

`sqrt(7)` km

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HEIGHTS AND DISTANCES

    MCGROW HILL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|41 Videos

  • FUNDAMENTALS OF ALGEBRA

    MCGROW HILL PUBLICATION|Exercise Multiple Choice Questions|23 Videos

  • INCOMPLETE FIGURES

    MCGROW HILL PUBLICATION|Exercise EXAMPLE|2 Videos

Similar Questions

Explore conceptually related problems

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

Two straight roads meet an angle of 60^(@) . Initially one man is at a distance of 10 m on one road from the crossing and the other at a distance of 20 m on the other road from the crossing. They starts moving at the same instant with the same speed towards the crossing. find the minimum distance between them.

Two highways are perpendicular to each other : imagine them to be along the x-axis and the y-axis, respectively. At the instant t=0, a police car P is at a distance d= 400m from the intersection and moving at speed of 80km // h towards it along the x-axis. Motorist M is at a distance of 600m from the intersection and moving towards it at a speed of 60km // h along the y-axis . The minimum distance between the cars is

Two poles are placed at P and Q on either side of a road such that the line joining P and Q is perpendicular to the length of the road. A person moves x metre away from P parallel to the road and places another pole at R. Then the person moves further x metre in the same direction and turns and moves a distance y metre away from the road perpendicularly, where he finds himself, Q and R on the same line. The distance between P and Q (i.e., the width of the road) in metre is

Directions for questions 8-10: A police van, approaching a right-angled intersection from north, is chasing a car that has turned the corner and is now moving straight east. When the van is 0.6 km north of the intersection, the car is 0.8 km to the east. At that instant the police determines with the help of the radar that the distance between the car and the van is increasing at a rate of 20 km/ hr. The speed of the police van at that instant (71) is 60 km/ hr. Q8) If s is the distance between the car and the van, r is the position of the car and y is the position of the van at time t, then

MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -MULTIPLE CHOICE QUESTIONS
  1. The upper part of a tree, broken by the wind makes an angle of 60° wit...

    Text Solution

    |

  2. A man on the top of a tower, standing on the seashore, finds that a...

    Text Solution

    |

  3. A tower subtends an angle alpha at a point A in the plane of its base ...

    Text Solution

    |

  4. A flag staff of 5m high stands on a building of 25m high. At an obse...

    Text Solution

    |

  5. An aeroplane flying at a height 300 metre above the ground passes vert...

    Text Solution

    |

  6. At a point on level ground, the angle of elevation of a vertical to...

    Text Solution

    |

  7. The straight roads intersect at an angle of 60°. A bus on one road is ...

    Text Solution

    |

  8. A flagstaff 10 m high stands at the centre of a equilateral triangle, ...

    Text Solution

    |

  9. A tree is broken by wind, its upper part touches the ground at a point...

    Text Solution

    |

  10. From the top of a light house, the angles of depression of two station...

    Text Solution

    |

  11. A flag staff on the top of the tower 80 mt of height subtends an angle...

    Text Solution

    |

  12. An aeroplane flying horizontally 900 m above the ground is observed at...

    Text Solution

    |

  13. From the top of the house 18m high, if the angle of elevation of the t...

    Text Solution

    |

  14. If the angle of elevation of an object from a point 100 m above a lake...

    Text Solution

    |

  15. A tower subtends an angle alpha at a point A in the plane of its base ...

    Text Solution

    |

  16. If the angles of elevation of the top of a tower from two points at d...

    Text Solution

    |

  17. A boat is rowed away from a cliff 150 m high. At the top of the cliff,...

    Text Solution

    |

  18. From the top of a church spire 96 m high, the angle of depression of t...

    Text Solution

    |

  19. A flagstaff of height 1/5 of the height of a tower is mounted on the t...

    Text Solution

    |

  20. The angles of elevation of the tops of two vertical towers as seen fro...

    Text Solution

    |