Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable 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.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.