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ICSE Class 7 Answered

A ladder 37m long reaches a window which is 12m above the ground,on one side of the street. Keeping its foot at the same point,the ladder is turned to the other side of the street to reach a window at a height of 35m.Find the width of the street.
Asked by dibroy12 | 27 Sep, 2018, 07:52: PM
answered-by-expert Expert Answer
 
In ΔXCY,
mbegin mathsize 16px style angle end styleC= 90
Therefore by Pythagoras Theorem,
XC2 = XY2 + CY2
CY2= XC2 - XY2 = 37- 122 = 1225 
Therefore CY = 35 m
Similarly,
In ΔABC,
By applying Pythagoras theorem, we get
BC = 12 m
 
Therefore the width of the street = BY = BC + CY = 35 + 12 = 47 m
Answered by Yasmeen Khan | 28 Sep, 2018, 11:46: AM
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