ted is 4ft froma lamppost that is 12 ft high. tim is 5.5 ft tall. how long is tims shadow?

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ted is 4ft froma lamppost that is 12 ft high. tim is 5.5 ft tall. how long is tims shadow?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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This problem gives you one big triangle with a smaller triangle inside. The big triangle is made up of the lamppost (height = 12), and the ground out to the end of the shadow (length = 4 + x, where x is the length of the shadow). The smaller triangle is nested, and is made up of ted (height = 5.5) and the shadow (length = x). Now we know that the ratio of the sides of the triangles must be the same, since they are separated by the same angle. In other words, 12/(4+x) must be the same as 5.5/x, then you can solve for x!

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