A ladder 15 m long reaches a window which 9m 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 12 m high. Find the width of the street.
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In △ADC,
AD² + AC² = CD²
9² + AC² = 15²
AC² = 225−81
AC = 12 m
In △BEC,
EC² = BC² + BE²
15² = 12² + BC²
225−144 = BC²
BC = 9 m
Width of the road = AC+BC = 12+9 = 21 m
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