A ladder 15m long reaches a window which is 9m
above the ground on one side of the street keeping its
tood at the same point, the ladder is turned to the other side of the street to steach a
window 12m high the width of the street is
a) 27m (b) 2m (c)24m (d) 18m
Answers
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1
Answer:
9 square = 81
Step-by-step explanation:
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★ Question :
A ladder 15m long reaches a window which is 9m above the ground on one side of the street keeping its fooot at the same point, the ladder is turned to the other side of the street to steach window 12m high the width of the street is?
★ Answer
In ΔDCE ;
using Pythagoras,
DE² = DC² +CE²
CE ² = DE²- DC²
CE ² = 225 -81. [ DE = 15 m and DC = 9 cm ]
CE = 12 m
Now ;
the ΔABE
using Pythagoras
AE² = AB² + BE²
BE² = AE² - AB²
BE² = 15² - 12²
BE² = 225-144
BE = 9 m
Hence, BC = BE + EC = 12 + 9 = 21 m
width of street = 21 m
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