Multiple Choice Questions on A ladder 15m long reaches a window which is 9m above the ground on one side of a street keeping its ........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

A ladder 15m long reaches a window which is 9m above the ground on one side of a street keeping its ...........

Quantitative Aptitude ( CCS) Mensuration 2D
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    A ladder 15m long reaches a window which is 9m above the ground on one side of a street keeping its foot on the same point the ladder turns to other side of the street to reach a window 12m high. Find the width of the street

    15m

    Incorrect Answer

    21m

    Correct Answer

    31m

    Incorrect Answer

    None of these

    Incorrect Answer
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    Explanation:

    Ladder ht. same in both case = 15 m

    in Δ APC by Pythagoras theorem

     CA² + AP² = CP² ⇒ CA² = 225 - 144 = 81 ⇒ CA = 9 m

    similarly in ΔBPD

    DB² + BP² = DP² ⇒  BP² = 225-81 = 144 ⇒ BP = 12m

    width of street AB = AP+BP = 12+9= 21m

    Hence, option 2 is the correct answer.

    By: MIRZA SADDAM HUSSAIN
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