Walls of two buildings on either side of a street are parallel to each other. A ladder 5.5 m long is placed on the street such that its top just reaches the window of a building at the height of 4 m. On turning the ladder over to the other side of the street, its top touches the window of the other building at a height 4.2 m. Find the width of the street.
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Walls of two buildings on either side of a street are parallel to each other. A ladder 5.5 m long is placed on the street such that its top just reaches the window of a building at the height of 4 m. On turning the ladder over to the other side of the street, its top touches the window of the other building at a height 4.2 m. Find the width of the street.By pythagoras theorem,
5.8
2
=x
2
+4.2
2
and 5.8
2
=y
2
+4
2
⇒ x=
5.8
2
−4.2
2
=
(10)(16)
=
16
=4
y=
5.8
2 −4 2
=
9.8×1.8
=4.2 m
⇒ width =x+y=8.2 m
Step-by-step explanation:
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