# math

a object that is 3.9 feet tall cast a shadow that is a 11.7 feet long. how long in feet would the shadow be in feet if the object is 16.5 feet tall

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1. 3.9 / 11.7 = 16.5 / x Multiply both sides by x

3.9 * x / 11.7 = 16.5 * x / x

3.9 x / 11.7 = 16.5 Multiply both sides by 11.7

3.9 x * 11.7 / 11.7 = 16.5 * 11.7

3.9 x = 193.05 Divide both sides by 3.9

3.9 x / 3.9 = 193.05 / 3.9

x = 49.5 ft

OR

11.7 = 3.9 * 3

So :

3. 9 / 11.7 = 3.9 / ( 3.9 * 3 ) = 1 / 3

16. 5 / x = 1 / 3 Multiply both sides by x

16.5 * x / x = 1 * x / 3

16.5 = x / 3 Multiply both sides by 3

16.5 * 3 = x * 3 / 3

49.5 = x

x = 49.5 ft

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