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Miguel is 5 feet 10 inches tall. On a sunny day he casts a shadow 4 feet 2 inches long. At the same time, a nearby electric tower casts a shadow 8 feet 9 inches long. How tall is the tower?
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5 votes
Miguel is 5 feet 10 inches tall. On a sunny day he casts a shadow 4 feet 2 inches long. At the same time, a nearby electric tower casts a shadow 8 feet 9 inches long. How tall is the tower?

User Coach
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2 Answers

5 votes
what is the rest of the question is that it?
User Jodag
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9.2k points
4 votes
height of man /shadow of man = height of tower/shadow of tower.

notice I set up "like things" in the same pattern

(5 10/12) / (4 2/12) = height of tower/(8 9/12)

(35/6) / (25/6) = tower/(35/4)
tower = (35/4)(35/6) / (25/6)
= 49/4 inches or 12 ft 3 inches
User Rattle
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8.2k points
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