A ladder 15 m long reaches a window which is 9 m above the ground
on one side of a 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.
Find the width of the street.
Answers
Answered by
7
Answer:
Step-by-step 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
Answered by
1
Answer:
the street is 15 metres wide.
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