Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

An objects height varies directly with the length of its shadow. A person who is 6 feet tall casts a 15-foot shadow. How long is the shadow of a 20-foot tree?

Sagot :

Explanation

If the height of an object h varies directly with the length of its shadow l then both quantities are related by an expression like this one:

[tex]h=k\cdot l[/tex]

Where k is a number. We are told that a 6 ft tall person has a 15 ft long shadow. This means that for h=6 we have l=15. Then we can construct an equation for k:

[tex]6=15k[/tex]

We can divide both sides by 15:

[tex]\begin{gathered} \frac{6}{15}=\frac{15k}{15} \\ k=\frac{2}{5}=0.4 \end{gathered}[/tex]

So the relation between height and the length of the shadow is:

[tex]h=0.4l[/tex]

Then if the tree is 20 ft tall we get:

[tex]20=0.4l[/tex]

We can divide both sides by 0.4:

[tex]\begin{gathered} \frac{20}{0.4}=\frac{0.4l}{0.4} \\ l=50 \end{gathered}[/tex]Answer

Then the answer is 50 ft.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.