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Two poles with different heights stand side-by-side. One pole is 4 meters tall, and casts a shadow that is 11 meters long. The other pole is 6 meters tall. How long is the shadow of the second pole?

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Answer:

The length of the shadow of the second pole is 16.5 meters

Step-by-step explanation:

Set up a proportional ratio (since the two poles stand side by side).

[tex]\frac{height}{shadow} =\frac{height}{shadow}[/tex]

[tex]\frac{4}{11} =\frac{6}{x}[/tex]

Cross multiply and solve for x (the shadow of the second pole):

4 · x = 11 · 6

4x = 66

x = 66 ÷ 4

x = 16.5 m

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