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Home Aptitude Height and Distance See What Others Are Saying!
  • Question
  • A man on the top of a vertical towers observes a car moving at a uniform speed coming directly towards it. if it takes 12 minute for the angle of depression to change from 30° to 45°, how soon after this will the car reach the tower?


  • Options
  • A. 14 min 20 sec.
  • B. 15 min 22 sec.
  • C. 16 min.
  • D. 16 min 23 sec.

  • Correct Answer
  • 16 min 23 sec. 

    Explanation

    Let us draw a figure below from given question.
    Let AB = h meter be the height of the tower B and C are two points such that ?ACB = 30° ?ADB = 45° and CD = x meter (say)
    From right triangle ABD,
    tan 45° = h/BD
    ? BD = h meter;
    Again from right triangle ABC
    tan 30° = h/(h + x )
    ? h + x = ?3 h
    ? x = (1.73 - 1)h = 0.73h
    Now, 0.73h meter covered in 12 min
    Hence, h meter covered in 12/0.73 = 1200/73 min = 16 min 23 sec .


  • More questions

    • 1. 
      Six bell commence tolling together and toll at intervals of 5, 10, 15, 20, and 30 s, respectively. In 60 min, how many times do they toll together?

    • Options
    • A. 20
    • B. 15
    • C. 13
    • D. 11
    • Discuss
    • 2. 
      In the given figure, ?B = ?C = 55° and ?D = 25°. Then:

    • Options
    • A. BC < CA < CD
    • B. BC > CA > CD
    • C. BC < CA, CA > CD
    • D. BC > CA, CA < CD
    • Discuss
    • 3. 
      In the given figure, AB || CD and AC || BD. If ?EAC = 40°, ?FDG = 55°, ?HAB = x; then the value of x is:

    • Options
    • A. 95°
    • B. 70°
    • C. 35°
    • D. 85°
    • Discuss
    • 4. 
      The complement of an angle exceeds the angle by 60°. Then the angle is equal to:

    • Options
    • A. 25°
    • B. 30°
    • C. 15°
    • D. 35°
    • Discuss
    • 5. 
      Find the measure of an angle, if six times its complement is 12° less than twice its supplement :

    • Options
    • A. 48°
    • B. 96°
    • C. 24°
    • D. 58°
    • Discuss
    • 6. 
      In the adjoining figure, AB || CD, t is the traversal, EG and FG are the bisectors of ?BEE and ?DFE respectively, then ?EGF is equal to :

    • Options
    • A. 90°
    • B. 75°
    • C. 80°
    • D. 110°
    • Discuss
    • 7. 
      The complement of 30°20? is:

    • Options
    • A. 69°40?
    • B. 59°40?
    • C. 35°80?
    • D. 159°40?
    • Discuss
    • 8. 
      In the given, AB || CD. Then X is equal to:

    • Options
    • A. 93°
    • B. 103°
    • C. 83°
    • D. 97°
    • Discuss
    • 9. 
      In what ratio must a grocer mix sugar at 72 paise per kg with sugar at 48 paise per kg. So that by selling the mixture at
      63 paise per kg he may gain
      1
      of his out-lay?
      6

    • Options
    • A. 1 : 3
    • B. 3 : 1
    • C. 2 : 3
    • D. 3 : 2
    • Discuss
    • 10. 
      A Principal amounts to ? 944 in 3 yr and to ? 1040 in 5 yr, each sum being invested at the same simple interest. The principal was

    • Options
    • A. ? 800
    • B. ? 991
    • C. ? 750
    • D. ? 900
    • Discuss


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