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tensa zangetsu [6.8K]
3 years ago
5

A person who is 70 inches tall cast a shadow that is 54 inches long. If a tree casts a shadow that is 28 feet long at the same t

ime, then how hall is the tree to the nearest foot?
1) 22 feet
2) 30 feet
3) 36 feet
4) 42 feet
Mathematics
2 answers:
GuDViN [60]3 years ago
7 0

\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}

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

Hence the height of the tree to the nearest foot is: 36 feet

Hence option (3) is correct.

horrorfan [7]3 years ago
4 0
The answer is 36 feet, so number 3
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