Problem

QUESTION 1
Use a proportion to solve the problem.
A tree casts a shadow \( 42 \mathrm{~cm} \) long. At the same time, the shadow cast by a 49-cm tall statue is \( 63 \mathrm{~cm} \) long. Find the height of the tree. Round your answer to the nearest tenth of a meter.
\( 52.5 \mathrm{~cm} \)
\( 31.2 \mathrm{~cm} \)
\( 54.0 \mathrm{~cm} \)
\( 32.7 \mathrm{~cm} \)

Answer

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Answer

\(tree = 32.6667\)

Steps

Step 1 :\(\frac{tree}{42} = \frac{49}{63}\)

Step 2 :\(tree = 42\cdot\frac{49}{63}\)

Step 3 :\(tree = 32.6667\)

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