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Sagot :
We can solve this problem with proportions, by expressing the ratio of the height of the pole and the building to the length of their shadow, like this:
Height of pole / shadow of pole = Height of building / shadow building
when we take x as the height of the building and substitute the values provided by the question, we get:
[tex]\frac{3.5}{1.55}=\frac{x}{45.25}[/tex]From this expression we can solve for x, like this:
[tex]\begin{gathered} \frac{3.5}{1.55}=\frac{x}{45.25} \\ \frac{3.5}{1.55}\times45.25=\frac{x}{45.25}\times45.25 \\ \frac{3.5}{1.55}\times45.25=\frac{45.25}{45.25}\times x \\ \frac{3.5}{1.55}\times45.25=1\times x \\ \frac{3.5}{1.55}\times45.25=x \\ x=\frac{3.5}{1.55}\times45.25\approx102 \end{gathered}[/tex]Then, the height of the building is 102 m
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