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:
[tex]\mathbf{h =1.85}[/tex]
At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:
[tex]\mathbf{D =39.75}[/tex]
[tex]\mathbf{d =34.9}[/tex]
To calculate the height (H) of the tree, we make use of the following equivalent ratios
[tex]\mathbf{H : h =D : d}[/tex]
So, we have:
[tex]\mathbf{H : 1.85 =39.75 : 34.9}[/tex]
Express ratio as fraction
[tex]\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}[/tex]
Multiply both sides by 1.85
[tex]\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}[/tex]
[tex]\mathbf{H=2.11}[/tex]
Hence, the height of the tree is approximately 2.11 meters
Read more about ratios and proportions at:
https://brainly.com/question/7810782
