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An office building 55ft tall casts a shadow 30ft long How tall is a person standing nearby who casts a shadow of 3 ft long?
From the given information, we see that the building and its shadow form a right triangle with base 30 ft and height 55 ft.
Also, the person and his/her shadow form another similar triangle with base 3 ft and height x ft.
Since both triangles are similar, we have:
x/55 = 3/30 or
x/55 = 1/10 cross multiply
10x = 55 divide by 10 to both sides
x = 5.5
Thus the person is 5.5 inches tall.
What else can I help you with?
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