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How tall is a building that casts a 76-ft shadow when the angle of elevation of the sun is 36 degrees?

How tall is a building that casts a 76-ft shadow when the angle of elevation of the-example-1
How tall is a building that casts a 76-ft shadow when the angle of elevation of the-example-1
How tall is a building that casts a 76-ft shadow when the angle of elevation of the-example-2

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6 votes

Given

Recall: SOHCAHTOA

We are using TOA which is Tan


\begin{gathered} Tan\text{ 36=}(x)/(76) \\ \\ cross\text{ multiply} \\ x=76tan36 \\ x=55.2172 \end{gathered}

Thus, the height to the nearest foot is;


55ft

How tall is a building that casts a 76-ft shadow when the angle of elevation of the-example-1
User Gurkan Yesilyurt
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