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A girl 5.5 feet cast a shadow 70 inches long. At the same time a telephone pole casts a shadow 314 inches long. Which proportion cannot be used to find the length of the telephone pole?

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90 = 3145.5 𝑥

70 = 5.5314𝑥

5.5
𝑥= 31470

70 = 5.5𝑥 314

answer is D.

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Detailed Solution

Le height of the telephone pole = x Given height of girl = 5.5 inches
Shadow of girl = 70 inches
In Δ ABC
tan𝜃 = 𝐴𝐶 =5.5
𝐵𝐶 70
In Δ PQR
𝑃𝑅 𝑥
tanβ=

𝑄𝑅

=
314
Now tan𝜃=tanβ
5.5 = 70 314
⇒ 70 = 5.5 .
𝑥 314

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