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Home Aptitude Height and Distance See What Others Are Saying!
  • Question
  • A 6 ft-tall man finds that the angle of elevation of the top of a 24 ft-high pillar and the angle of depression its base are complementary angles. Then the distance between pillar and man is?


  • Options
  • A. 2?3 ft
  • B. 4?3 ft
  • C. 6?3 ft
  • D. 8?3 ft

  • Correct Answer
  • 6?3 ft 

    Explanation

    Let us draw a figure below from the given question.
    Let AB = 24 ft and CD = 6 ft be the height of the pillar and man respectively.
    Here ? ACE = ? ? CBD = 90° - ?
    Now from right triangle CDB,
    BD = 6 cot (90° - ?) = 6 tan ?
    ? tan ? = BD/6 ...............(i)
    From right triangle ACE,
    tan ? =18/EC = 18/BD ...............(ii) (? EC = BD)
    Now from (i) and (ii) we get,
    BD/6 = 18/BD
    ? BD2 = 18 x 6
    ? BD = 6?3 ft.
    Hence, distance between pillar and man = 6?3 ft


  • More questions

    • 1. 
      The median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 3. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 6. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 8. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 10. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss


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