Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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 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.

Sagot :

MrRoyal

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

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.