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emmainna [20.7K]
3 years ago
14

A flagpole casts a shadow that is 12 ft long. A 6-ft tall man casts a shadow

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

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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In order for the triangle to be isosceles, we have to set two lengths of the triangle equal to each other. 

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