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10 ft 3.5 in (to the nearest half inch).

There are two similar triangles:

The shadows corresponds to one side and have the ratio of 7 : 12 (Jimmy : pole) = 7/7 : 12/7 = 1 : 12/7

So for every 1 of Jimmy's shadow, the pole's shadow is 12/7.

The heights are in the same ratio, thus:

The height of the pole is 6 x 12/7 ft = 72/7 ft = 10 2/7 ft ≈ 10.29 ft ≈ 10 ft 3.5 in (to the nearest half inch)

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Q: At 10 am the shadow of a post on a pergola is 12 feet long At the same time the shadow of Jimmy who is 6 feet tall is 7 feet long What is the approximate height of the post?
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