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An 18-foot flagpole casts a shadow 12 feet long forming a triangle as shown in the diagram. You are 5.75 feet tall and cast a shadow as shown. How long is the shadow you cast given the triangles shown are similar?

A. 3.83

B. 8.63

C. 11

An 18foot flagpole casts a shadow 12 feet long forming a triangle as shown in the diagram You are 575 feet tall and cast a shadow as shown How long is the shado class=

Respuesta :

Answer:

Option (A)

Step-by-step explanation:

From the picture attached,

ΔABC and ΔDEF are the similar triangles.

Therefore, by the property of similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}[/tex]

[tex]\frac{5.75}{18}=\frac{BC}{12}[/tex]

BC = [tex]\frac{12\times 5.75}{18}[/tex]

BC = 3.83 ft

Option (A) will be the correct option.

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