A 5'6" student casts a shadow 6 ft long at the same time a tree casts a 20 ft shadow. How tall is the tree? (Hint: The tree and its shadow are similar to the student and her shadow

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Answer:

5' 6" = 66 inches

6 feet = 72 inches

shadow to actual height ratio = 72 / 66 = 1.0909...

If the tree casts a 20 foot shadow then its height equals

20 / 1.09090909 = 18.33 feet = 18 feet 4 inches

Step-by-step explanation:

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