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  • Question
  • The angle of elevation of the sun when the length of the shadow of a pole is ?3 times the height of the pole will be :


  • Options
  • A. 30°
  • B. 60°
  • C. 90°
  • D. 45°

  • Correct Answer
  • 30° 

    Explanation


  • Height and Distance problems


    Search Results


    • 1. 
      A tower subtends an angle of 30° at a point on the same level as the foot of the tower. At a second point, h m above the first, the depression of the foot of the tower is 60°. The horizontal distance of the tower from the point is :

    • Options
    • A. h cot 60°
    • B. h cot 30°
    • C. h cot 60° 2
    • D. h cot 30° 2
    • Discuss
    • 2. 
      At a point, 15 m away from the base of a 15 m high house, the angle of elevation of the top is :

    • Options
    • A. 45°
    • B. 30°
    • C. 60°
    • D. 90°
    • Discuss
    • 3. 
      When the length of the shadow of a pole is equal to the height of the pole, then the elevation of source of light is :

    • Options
    • A. 30°
    • B. 45°
    • C. 60°
    • D. 75°
    • Discuss
    • 4. 
      A 20 m high electric pole stands upright on the ground with the help of steel wire to its top and affixed on the ground. If the steel wire makes 60° with the horizontal ground, then find out the length of the steel wire.

    • Options
    • A. 40/ ?3 m
    • B. 40 ?3 m
    • C. 20/ ?3m
    • D. 20 ?3m
    • Discuss
    • 5. 
      The shadow of a tower standing on a level plane is found to be 50 m longer when the sun's altitude is 30° than when it is 60°. Find the height of the tower.

    • Options
    • A. 20 ?3 m
    • B. 25/ ?3 m
    • C. 25 ?3 m
    • D. 20 ?3 m
    • Discuss
    • 6. 
      The tops of two poles of height 20 m and 14 m are connected by a wire. If the wire makes an angle 30° with the horizontal, then the length of the wire is :

    • Options
    • A. 12 m
    • B. 10 m
    • C. 8 m
    • D. None of these
    • Discuss
    • 7. 
      The top of a 15 m high tower makes an angle of elevation of 60° with the bottom of an electric pole and an angle of elevation of 30° with the top of the pole. What is the height of the electric pole?

    • Options
    • A. 5 m
    • B. 8 m
    • C. 10 m
    • D. 12 m
    • Discuss
    • 8. 
      From a 15 m high bridge on the river, the angle of depression of a boat is 30°. If the speed of the boat be 6 Km/h, then the time taken by the boat to reach exactly below the bridge will be :

    • Options
    • A. 9 ?3 second
    • B. 19 / ?3 second
    • C. 3 ?3 second
    • D. None of these
    • Discuss
    • 9. 
      The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is :

    • Options
    • A. 50 ?3 m
    • B. 50 m ?3
    • C. 75 ?3 m
    • D. 75 m ?3
    • Discuss
    • 10. 
      If r sin ? = 1, r cos ? = ? 3 then the value of ( ? 3 tan ? + 1 ) is :

    • Options
    • A. ?3
    • B. 1 ?3
    • C. 1
    • D. 2
    • Discuss


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