Problem

Ai Mi is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 27.65 meters. She stands 22.8 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answer

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Answer

\( h \approx 1.76 \)

Steps

Step 1 :\( \frac{h}{27.65} = \frac{1.45}{22.8} \)

Step 2 :\( h = \frac{1.45 \times 27.65}{22.8} \)

Step 3 :\( h \approx 1.76 \)

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