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  • Question
  • A ladder 15 m long reaches a window which is 9 m above the ground on one side of street. Keeping its foot at the same point, the ladder is turned to the other side of the street to reach a window 12 m high. What is the width of the street:


  • Options
  • A. 31 m
  • B. 12 m
  • C. 30 m
  • D. 21 m

  • Correct Answer
  • 21 m 

    Explanation

    Draw a figure as per given question,
    In a Right triangle ADC, Use the (Pythagoras Theorem)
    AC = ?DC2 - AD2
    ? AC = ? 152 - 9 2
    ? AC = ? 225 - 81
    ? AC = ? 144
    ? AC = 12 cm
    In a Right triangle BCE, Use the formula
    CB = ? CD2 - BE2
    ? CB = ?15 2 - 122
    ? CB = ?225 - 144
    ? CB = ? 81
    ? CB = 9 m

    ? Width of the street (AC + BC) = AB = 12 + 9 = 21 m.


  • Plane Geometry problems


    Search Results


    • 1. 
      In the given figure ?BAD = ?CAD. AB = 4 cm, AC = 5.2 cm, BD = 3 cm. Find BC.

    • Options
    • A. 6.9 cm
    • B. 9.6 cm
    • C. 3.9 cm
    • D. 9.3 cm
    • Discuss
    • 2. 
      The areas of two similar ?s are 81 cm 2 and 144 cm 2. If the largest side of the smaller ? is 27 cm, then the largest side of the larger ? is :

    • Options
    • A. 24 cm
    • B. 48 cm
    • C. 36 cm
    • D. 88 cm
    • Discuss
    • 3. 
      If the bisector of an angle of ? bisects the opposite side, then the ? is :

    • Options
    • A. Scalene
    • B. Isosceles
    • C. Right triangle
    • D. circle
    • Discuss
    • 4. 
      In the given figure, DE || BC if AD = 1.7 cm, AB = 6.8 cm and AC = 9 cm, find AE.

    • Options
    • A. 2.25cm
    • B. 4.5cm
    • C. 1.25cm
    • D. 2.5cm
    • Discuss
    • 5. 
      The sides AB and AC of ?ABC have been produced to D and E respectively. The bisectors of ?CBD and ?BCE meet at O. If ?A = 40°, then ?BOC is equal to:

    • Options
    • A. 60°
    • B. 65°
    • C. 75°
    • D. 70°
    • Discuss
    • 6. 
      D and E are the points on the sides AB and AC respectively of ?ABC such that AD = 8 cm, BD = 12 cm, AE = 6 cm and EC = 9 cm. Then find BC/ DE.

    • Options
    • A. 5 2
    • B. 2 5
    • C. 5 7
    • D. 5 3
    • Discuss
    • 7. 
      In an equilateral ? ABC, if AD ? BC, then which option is true?

    • Options
    • A. 3AB2 = 2AD2
    • B. 2AB2 = 3AD2
    • C. 3AB2 = 4AD2
    • D. 4AB2 = 3AD2
    • Discuss
    • 8. 
      In the given figure, AB || DC, find the value of x.

    • Options
    • A. x = 8
    • B. x = 9
    • C. x = 8 or 9
    • D. x = 10
    • Discuss
    • 9. 
      In the adjoining figure ?A + ?B + ?C + ?D + ?E + ?F =?

    • Options
    • A. 270°
    • B. 300°
    • C. 360°
    • D. 330°
    • Discuss
    • 10. 
      In ?ABC, the angle bisectors of ?B and ?C meet at O. If ?A = 70°, then ?BOC is equal to:

    • Options
    • A. 135°
    • B. 125°
    • C. 115°
    • D. 110°
    • Discuss


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