2. A ladder 15m 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 other side of the street
to reach a window 12m high. Find the width of the street.
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In △ADC,
AD
2
+AC
2
=CD
2
9
2
+AC
2
=15
2
AC
2
=225−81
AC=12 m
In △BEC,
EC
2
=BC
2
+BE
2
15
2
=12
2
+BC
2
225−144=BC
2
BC=9 m
Width of the road = AC+BC = 12+9 = 21 m
AD
2
+AC
2
=CD
2
9
2
+AC
2
=15
2
AC
2
=225−81
AC=12 m
In △BEC,
EC
2
=BC
2
+BE
2
15
2
=12
2
+BC
2
225−144=BC
2
BC=9 m
Width of the road = AC+BC = 12+9 = 21 m
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