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 s

Question

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?

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Nevaeh 2 weeks 2021-10-04T10:25:49+00:00 1 Answer 0

Answers ( )

    0
    2021-10-04T10:27:20+00:00

    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.

     \frac{x}{6}  =  \frac{12}{8}

    We multiply both sides by 6 to get:

    x =  \frac{12}{8}  \times 6

    We reduce the fraction to get:

    x =  \frac{3}{2}  \times 6

    We now simplify

    x = 3 \times 3

    x = 9ft

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