SophiaMillner
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A flagpole casts a shadow that is 12 ft long. A 6-ft tall man casts a shadow
that is 8 ft long. The two triangles created are similar. How tall is the
flagpole?

Respuesta :

kudzordzifrancis

Answer:

9ft

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are proportional.

Let the height of the flag pole be x feet.

[tex] \frac{x}{6} = \frac{12}{8} [/tex]

We multiply both sides by 6 to get:

[tex]x = \frac{12}{8} \times 6[/tex]

We reduce the fraction to get:

[tex]x = \frac{3}{2} \times 6[/tex]

We now simplify

[tex]x = 3 \times 3[/tex]

[tex]x = 9ft[/tex]

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