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If a 36-inch yardstick casts a 21-inch shadow, how tall is a building with a 168 foot shadow?

If a 36-inch yardstick casts a 21-inch shadow, how tall is a building with a 168 foot-example-1

1 Answer

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The sun must be very low in the sky, as a 24foot building would cast the 168-foot shadow.

Step-by-step explanation:

Always be careful that the units of your calculation are consistent. It is a common trick in word problems to see if you are attentive.
It is best to stay in feet rather than inches in this problem.
The 36 inches is equal to 3 ft.

I prefer to just use a proportion to solve:
3/21 = x/168 Using cross products we calculate x = 24 ft

User Mortb
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