# SOLUTION: A pole's shadow measures 2 1/2 feet when the shadow of a yardstick is right next to the ople measures 16 inches. How tall is the pole?

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 Question 353964: A pole's shadow measures 2 1/2 feet when the shadow of a yardstick is right next to the ople measures 16 inches. How tall is the pole? Found 3 solutions by rfer, walleye, checkley77:Answer by rfer(12657)   (Show Source): You can put this solution on YOUR website!x/2 1/2=3/1 1/3 1 1/3x=3/1*5/2 4/3x=15/2 x=15/2*3/4 x=45/8 x=5 5/8 ft Answer by walleye(1)   (Show Source): You can put this solution on YOUR website!First you must convert the shadow into inches. 2.5 * 12 = 30 inches. Second you must know that a yardstick is 3 ft or 36 inches. Set x as the height of the pole. Now use the law of similar triangles as in simplify into Now cross multiply Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!x/2.5=36/16 cross multiply. 16x=2.5*36 16x=90 x=90/16 x=5.625 feet is the height of the pole.