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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.


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