Respuesta :

For this case we can use the similarity of triangles to solve the problem.
 We then have the following relationship:
 x / 6 = 18/4
 From here, we clear the value of x.
 We have then:
 x = (18/4) * (6)
 x = 27 feet
 Answer:
 
the flagpole is 27 feet tall

The height of the flagpole will be 27 feet.

What are ratio and proportion?

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

A man who is 6 feet tall casts a shadow that is 4 feet long.

At the same time, a nearby flagpole casts a shadow that is 18 feet long.

Then the height of the flagpole will be

Let x be the height of the flagpole. Then we have

The ratio will remain constant.

x / 18 = 6 / 4

x = 27 feet

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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