Home
Class 10
MATHS
A bridge across a river makes an angles ...

A bridge across a river makes an angles of `45^0` with the river bank as shown in Figure. If the lengthof the bridge across the river is 150m, what is the width of the river?

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos
  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|250 Videos

Similar Questions

Explore conceptually related problems

A person rows a boat across a river making an anglen of 60^@ with the downstream. Find the percentage time he would have saved, ahd he crossed the river in the shortest possible time.

A swimmer crosses the river along the line making an angle of 45^@ with the direction of flow. Velocity of the river water is 5(m)/(s) . Swimmer takes 12 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be:

A swimmer crosses the river along the line making an angle of 45^@ with the direction of flow. Velocity of the river water is 5(m)/(s) . Swimmer takes 12 seconds to cross the river of width 60 m. The velocity of the swimmer with respect to water will be:

From a point on a bridge across a river the angles of depression of the banks on opposite side of the river are 30^o and 45^o respectively. If bridge is at the height of 30m from the banks, find the width of the river.

From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30^o and 45^o , respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.

From a point of a bridge across a riuver, the angles of depression of the banks on opposite sides of the river are 30^(@) and 45^(@) , respectively. IF the bridge is at a height of 10 m from the banks, then find the width of the river. (Use sqrt3=1.73 )

A man can swim in still water at a speed of 6 kmph and he has to cross the river and reach just opposite point on the other bank. If the river is flowing at a speed of 3 kmph, and the width of the river is 2 km, the time taken to cross the river is (in hours)

A swimmer starts to swim from point a to cross a river. He wants to reach point B on the opposite side of the river. The line AB makes an angle 60^(@) with the river flow as shown. The velocity of the swimmer in still water is same as that of the water (i) In what direction should he try to direct his velocity ? Calculate angle between his velocity ? Calculate angle between his velocity and river velocity. (ii) Find the ratio of the time taken to cross the river in this situation to the minimum time in which he can cross this river.

An aeroplane at an altitude of 200 metres observes the angles of depression of opposite points on the two banks of a river to be 45^0a n d60^0dot Find the width of the river.

A T.V. Tower stands vertically on a bank of a river. From a point on the other bank directly opposite to the tower, the angle of elevation of the top of the tower is 60 degrees. From a point 20m away this point on the same bank, the angle of elevation of the top of the tower is 30o . Find the height of the tower and the width of the river.

RD SHARMA ENGLISH-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
  1. A tree standing on horizontal plane is leaning towards east. At two po...

    Text Solution

    |

  2. A person, standing on the bank of a river, observes that the angle sub...

    Text Solution

    |

  3. A bridge across a river makes an angles of 45^0 with the river bank as...

    Text Solution

    |

  4. From the top of a light house, the angles of depression of two ships o...

    Text Solution

    |

  5. If the angle of elevation of a cloud from a point h metres above a lak...

    Text Solution

    |

  6. From the top of a hill, the angles of depression of two consecutive ...

    Text Solution

    |

  7. The shadow of a vertical tower on level ground increases by 10 metres,...

    Text Solution

    |

  8. A tower is 100sqrt(3) metres high. Find the angle of elevation if i...

    Text Solution

    |

  9. The angle of elevation of the top of a tower from a point on the gro...

    Text Solution

    |

  10. A kite is flying at a height of 60m above the ground. The string att...

    Text Solution

    |

  11. The string of a kite is 100 metres long and it makes an angle of 60...

    Text Solution

    |

  12. A circus artist is climbing from the ground along a rope stretched f...

    Text Solution

    |

  13. An observer 1.5 m tall is 28.5 m away from a chimney. The angle of e...

    Text Solution

    |

  14. An electrician has to repair an electric fault on a pole of height 4...

    Text Solution

    |

  15. From a point on the ground 40m away from the foot of a tower, the an...

    Text Solution

    |

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

    Text Solution

    |

  17. Determine the height of a mountain if the elevation of its top at an...

    Text Solution

    |

  18. An aeroplane at an altitude of 1200 metres finds that two ships are ...

    Text Solution

    |

  19. Two pillars of equal height and on either side of a road, which is 1...

    Text Solution

    |

  20. As observed from the top of a light house, 100m above sea level, th...

    Text Solution

    |