Home
Class 10
MATHS
A straight highway leads to the foot of ...

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of`30^(@)`, which is approaching the foot of the tower with a uniform speed. Six seconds later , the angle of depression of the car is found to be 60^(@)'.Find the time taken to reach the foot of the tower from this point.

Text Solution

Verified by Experts

The correct Answer is:
hence the time taken by the car to reach the foot of the tower is 3 seconds
Promotional Banner

Topper's Solved these Questions

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (MCQ)|10 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VERY SHORT ANSWER TYPE QUESTIONS )|3 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (VALUE BASED QUESTIONS )|2 Videos

  • REAL NUMBERS

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS(LONG ANSWER TYPE QUESTIONS )|5 Videos

  • STATISTICS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS IIT FOUNDATION|5 Videos

Similar Questions

Explore conceptually related problems

From a tower 128 m high, the angle of depression of a car is 30°. Find the distance of the car from the tower

The angle of depression of the top of a tower at a point 70mts from the base is 45^(circ) , Then the height of the tower is

From the top of a cliff 25 m high the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. The height of the tower is

From the top of a 7m high building, the angle of elevation of the top of a cable tower is 60^(@) and the angle of depression of its foot is 45^(@) .Determine the height of the tower.

A tower subtends an angle alpha at a point on the same level as the foot of the tower and at the second point h metres above the first the angle of depression of the base of a tower is beta The height of the tower

From the of a vertical building of 50sqrt3 m height on a level ground the angle of depression of an object on the same ground is observed to be 60^@ . Find the distance of the object from the foot of the building.

From the top of a tower 50 m high, the angle of depression of the top of a pole is 45^(@) and from the foot of the pole, the angle of elevation of the top of the tower is 60^(@) . Find the height of the pole if the pole and tower stand on the same plane.

If the angle of elevation of the top of a tower from a distance of 100m from its foot is 60^(@) , the height of the tower is

From the top of a vertical tower, the angle of depression of two cars on the same straight line with the base of the tower, at an instant, is found to be 45^(@) and 60^(@) . If the cars are 100 m apart and are on the same side of the tower, find the height of the tower

ZEN PUBLICATION-SOME APPLICATIONS OF TRIGONOMETRY-TEXTUAL (EXERCISES 12.1)
  1. A circus artist is climbing a 20m long rope, which is tightly stretche...

    Text Solution

    |

  2. A tree breaks due to storm and the broken part bends so that the top o...

    Text Solution

    |

  3. A contractor plans to install two slides for the children to the play ...

    Text Solution

    |

  4. The angle of elevation of the top of a tower from a point on the groun...

    Text Solution

    |

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

    Text Solution

    |

  6. A 1.5m tall boy is standing at some distance from a 30m tall building....

    Text Solution

    |

  7. From a point on the ground, the angles of elevation of the bottom and ...

    Text Solution

    |

  8. A statue, 1.6m tall, stands on the top of a pedestal. From a point on ...

    Text Solution

    |

  9. The angle of elevationof the top of a building from the foot of the to...

    Text Solution

    |

  10. Two poles of equal heights are standing opposite each other on either ...

    Text Solution

    |

  11. A TV tower stands vertically on a bank of a canal. From a point on th...

    Text Solution

    |

  12. From the top of a 7m high building, the angle of elevation of the top ...

    Text Solution

    |

  13. As observed from the top of a 75m high lighthouse from the sea-level, ...

    Text Solution

    |

  14. A 1.2 m tall girl spots a ballon moving with the wind in a horizontal ...

    Text Solution

    |

  15. A straight highway leads to the foot of a tower. A man standing at the...

    Text Solution

    |

  16. The angle of elevation of the top of a tower from two points at a dist...

    Text Solution

    |