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Amelia casts a shadow 5 feet long. Her father, who is 6 feet tall, casts a shadow 8 feet long. How tall is Amelia?
3 feet 9 inches.
6 feet 8 inches.
4 feet 10 inches.
4 feet 6 inches.
Detailed Explanation
Using the ratio height/shadow, the proportion x feet/5 feet =6 feet/8 feet can be used to find the unknown height. Cross multiply. 8x = 5 × 6, so 8x = 30 and x = 30/8 =3(3/4) feet. Convert 3/4 feet to inches. 3/4 * 12 = 9 inches. The height is therefore 3 feet 9 inches.
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