SOLUTION: The height of the Eiffel Tower is 984 ft. A souvenir model of the tower is 6 in. tall. At 5 P.M. in Paris, the shadow of the souvenir model is 8 in. long. The Eiffel Tower and its

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Question 138206: The height of the Eiffel Tower is 984 ft. A souvenir model of the tower is 6 in. tall. At 5 P.M. in Paris, the shadow of the souvenir model is 8 in. long. The Eiffel Tower and its shadow determine two legs of a right triangle that are similar to the two legs of a right triangle determined by the souvenir model and its shadow. About how long is the shadow of the Eiffel Tower?
Answer by stanbon(75887) About Me  (Show Source):
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The height of the Eiffel Tower is 984 ft. A souvenir model of the tower is 6 in. tall. At 5 P.M. in Paris, the shadow of the souvenir model is 8 in. long. The Eiffel Tower and its shadow determine two legs of a right triangle that are
similar to the two legs of a right triangle determined by the souvenir model and its shadow. About how long is the shadow of the Eiffel Tower?
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6 in / 8 in = 984 ft/ x ft
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3/4 = 984/x
x/4 = 984/3
x = 4*(984/3)
x = 1312 ft. (length of shadow of Eiffel Tower at 5 P.M.)
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Cheers,
Stan H.