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In Mathematics / Middle School | 2014-04-30

A meter stick casts a shadow 1.4 m long at the same time a flagpole casts a shadow 7.7 m long. The triangle formed by the meter stick and its shadow is similar to the triangle formed by the flagpole and its shadow.

How tall is the flagpole?

Asked by marebare

Answer (3)

So a meter stick is just one meter right? Everything else is measured in meters as well. The meter stick's shadow, the flagpole's shadow, they are all in meters. I don't know if they've taught you how to solve for x or not but you are pretty much solving for x. The flagpole, (the measure that you are trying to find) is the x. So your problem kind of looks like this: 1/1.4=x/7.7 Again, I don't know if this will help or not but if it does, than yippie! :)

Answered by julienne | 2024-06-10

5.5 m ;

Answered by lublana | 2024-06-12

The height of the flagpole is calculated to be 5.5 meters using the properties of similar triangles based on the lengths of the shadows cast. We set up a proportion using the heights and shadow lengths of both the meter stick and the flagpole. By solving the proportion, we find the height of the flagpole.
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Answered by lublana | 2024-09-03