Answered

Explore a world of knowledge and get your questions answered on IDNLearn.com. Ask any question and get a thorough, accurate answer from our community of experienced professionals.

In sunlight, a vertical stick 7 ft tall casts a shadow 3 ft long. At the same time a nearby tree casts a shadow 11 ft long. How tall is the tree? Round to the nearest tenth.

Sagot :

[tex]look\ at\ the\ picture\\\\\Delta ABC\sim\Delta D EF\\\\\frac{|ED|}{|EF|}=\frac{|AB|}{|BC|}\\\\\frac{|ED|}{11}=\frac{7}{3}\ \ \ \ /\cdot11\\\\|ED|=\frac{77}{3}\\\\|ED|\approx25.7\ (ft)\leftarrow Answer[/tex]
View image Аноним

Answer:

25.7 feet.

Step-by-step explanation:

Let x be the actual length of tree.

We have been given that in sunlight, a vertical stick 7 ft tall casts a shadow 3 ft long. We are asked to find the actual length of tree casting a 11 ft long shadow.

We will use proportions to solve our given problem.

[tex]\frac{x}{11}=\frac{7}{3}[/tex]

Upon multiplying both sides of our equation by 11, we will get:

[tex]\frac{x}{11}*11=\frac{7}{3}*11[/tex]

[tex]x=\frac{77}{3}[/tex]

[tex]x=25.6666666\approx 25.7[/tex]

Therefore, the tree is 25.7 feet tall.

Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Thank you for visiting IDNLearn.com. We’re here to provide clear and concise answers, so visit us again soon.