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cluponka [151]
2 years ago
6

Madelyn is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 39.75 meters. She stands 34.9 meters a

way 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.
Mathematics
1 answer:
Margaret [11]2 years ago
6 0

The relationship between her height and the tree's is an illustration of ratios and proportions

The height of the tree is approximately 2.11 meters

Her height is represented as:

\mathbf{h =1.85}

At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:

\mathbf{D =39.75}

\mathbf{d =34.9}

To calculate the height (H) of the tree, we make use of the following equivalent ratios

\mathbf{H : h =D : d}

So, we have:

\mathbf{H : 1.85 =39.75 : 34.9}

Express ratio as fraction

\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}

Multiply both sides by 1.85

\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}

\mathbf{H=2.11}

Hence, the height of the tree is approximately 2.11 meters

Read more about ratios and proportions at:

brainly.com/question/7810782

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