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A pole that is 3.1 m tall casts a shadow that is 1.1 m long. At the same time, a nearby building casts a shadow that is 37.25 m long. How tall is the building?Round your answer to the nearest meter.х5?

User Settapon H
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1 Answer

24 votes
24 votes

Let's determine the height of the building using ratios and proportions.


\text{ }\frac{\text{ Height of Pole}}{\text{ Shadow length of Pole}}\text{ = }\frac{\text{ Height of Building}}{\text{ Shadow length of Building}}
\text{ }\frac{\text{ 3.1}}{\text{ 1.1}}\text{ = }\frac{\text{ h}}{\text{ 37.25}}

Where,

h = height of the building

We get,


\text{ }\frac{\text{ 3.1}}{\text{ 1.1}}\text{ = }\frac{\text{ h}}{\text{ 37.25}}
\text{ 3.1 x 37.25 = h x 1.1}


115.475=1.1h


(115.475)/(1.1)=(1.1h)/(1.1)


\begin{gathered} \text{ 104.97727272727 = h} \\ \text{ h = 104.97727272727} \end{gathered}


\text{ h }\approx\text{ 105 m}

Therefore, the height of the building is approximately 105 m.

User Andrei Solero
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