An office building casts a 90 foot shadow. at the same time of day, a 5 foot woman standing near the building casts an 8 foot shadow. what is the approximate height of the building to the nearest foot?

Make a ratio: 

Make sure shadow is in same location on both fractions (either numerator or denominator) 

x/90=5/8 

Cross multiply: 

8x=90x5 
8x=450 

x=56.25 feet 

Therefore, the approximate height of the building to the nearest foot would be 56.25 feet.

That makes sense, too, because the woman's shadow is taller than she is, but is less than double her height. The building shadow is taller than the building, but it's less than double the height of the building.

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