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Answer :
[tex]\text{A person who is 70 inches tall cast a shadow that is 54 inches long. }\\
\text{We need to find the length of the tree that casts a shadow that }\\
\text{is 28 feet long at the same time}.\\
\text{for that we use the ratio. Let the length of the tree be x feet.}\\
\\
\text{so using ratio, we have}\\
\\
\frac{70}{54}=\frac{x}{28}\\
\\
\text{on cross multiplying, we get}[/tex]
[tex]70\times 28=54\times x\\
\\
\Rightarrow 1960=54x\\
\\
\text{now divide both sides by 54, we get}\\
\\
\frac{1960}{54}=\frac{54x}{54}\\
\\
\Rightarrow 36.29=x[/tex]
Hence the height of the tree to the nearest foot is: 36 feet
Hence option (3) is correct.
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