Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

\Grace is 1.65 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 25.35 meters. She stands 20.9 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

Grace's height and the tree's height are related by equivalent ratios

The height of the tree is 2.00 meters

Grace's height is given as:

[tex]\mathbf{h = 1.65}[/tex]

When she measured the length of the tree's shadow, we have:

[tex]\mathbf{l = 20.9m}[/tex] --- the length of her shadow

[tex]\mathbf{L = 25.35m}[/tex] --- the length of the tree's shadow

The height (H) of the tree is calculated using the following equivalent ratio

[tex]\mathbf{h:H = l:L}[/tex]

Substitute known values

[tex]\mathbf{1.65:H = 20.9:25.35}[/tex]

Express as fractions

[tex]\mathbf{\frac H{1.65} =\frac{25.35}{20.9}}[/tex]

Multiply both sides by 1.65

[tex]\mathbf{H=\frac{25.35}{20.9} \times 1.65}[/tex]

Simplify

[tex]\mathbf{H=2.00}[/tex]

Hence, the approximated height of the tree is 2.00 meters

Read more about equivalent ratios at:

https://brainly.com/question/13513438

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.