Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.
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]
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.
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.