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
None of these
Incorrect AnswerExplanation:
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.
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By: MIRZA SADDAM HUSSAIN