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  • Question
  • A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60°. When he retires 40 m from the bank, he finds the angle to be 30°. The breadth of the river is :


  • Options
  • A. 40 m
  • B. 60 m
  • C. 20 m
  • D. 30 m

  • Correct Answer
  • 20 m 

    Explanation


  • Height and Distance problems


    Search Results


    • 1. 
      The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is ?. The height of the hill is :

    • Options
    • A. b tan ? cosec B
    • B. a tan ? cosec A 2
    • C. c tan ? cosec C 2
    • D. None of these
    • Discuss
    • 2. 
      The angle of elevation of the top of a tower from a point 20 m away from its base is 45°. The height of the tower is :

    • Options
    • A. 10 m
    • B. 20 m
    • C. 40 m
    • D. 20 ?3 m
    • Discuss
    • 3. 
      From the top of a 25 m high, cliff the angle of elevation of a tower is found to be equal to the angle of depression of the foot of the tower. Find out the height of the tower.

    • Options
    • A. 40 m
    • B. 48 m
    • C. 50 m
    • D. 52 m
    • Discuss
    • 4. 
      The height of a tower is 100 m. When the angle of elevation of the sun changes from 30° to 45°, the shadow of the tower becomes P meter smaller. The value of P is :

    • Options
    • A. 100 m
    • B. 100 ?3 m
    • C. 100( ?3 - 1) m
    • D. 100 m ?3
    • Discuss
    • 5. 
      A tower stands at the end of a straight road. The angles of elevation of the top of the tower from two points on the road 500 m apart are 45° and 60°, respectively. Find out the height of the tower.

    • Options
    • A. 500 ?3 ?3 - 1
    • B. 5000 ?3
    • C. 500 ?3 ?3 + 1
    • D. None of these
    • Discuss
    • 6. 
      The angle of elevation of the top of an unfinished tower at a point distant 120 m from its base is 45°. If the elevation of the top at the same point is to be 60°, the tower must be raised to a height :

    • Options
    • A. 120 ( ?3 + 1 ) m
    • B. 120 ( ?3 - 1 ) m
    • C. 10 ( ?3 + 1 )
    • D. None of these
    • Discuss
    • 7. 
      The angle of elevation of the top of a tower at a point G on the ground is 30°. On walking 20 m towards the tower, the angle of elevation becomes 60°. The height of the tower is equal to :

    • Options
    • A. 10 m ?3
    • B. 20 ?3 m
    • C. 20 m ?3
    • D. 10 ?3 m
    • Discuss
    • 8. 
      From a point P on a level ground, the angle of elevation of the top of the tower is 30°. If the tower is 100 m high, the distance of the point P from the foot of the tower is :

    • Options
    • A. 100/ ?3 m
    • B. 100 ?3 m
    • C. 50?3 m
    • D. 50/?3 m
    • Discuss
    • 9. 
      A tower standing on a horizontal plane subtends a certain angle at a point 160 m apart from the foot of the tower. On advancing 100 m towards it, the tower is found to subtend an angle twice as before. The height of the tower is :

    • Options
    • A. 80 m
    • B. 100 m
    • C. 160 m
    • D. 200 m
    • Discuss
    • 10. 
      A man from the top of a 100 m high tower sees a car moving towards the tower at an angle of depression of 30°. After some time, the angle of depression becomes 60°. The distance (in m) traveled by the car during this time is :

    • Options
    • A. 100 ?3
    • B. 200 ?3 3
    • C. 100 ?3 3
    • D. 200 ?3
    • Discuss


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