Answer:
32 feet.
Step-by-step explanation:
We have been given that the height of an object varies directly with the length of its shadow.
Let y represent length of shadow and x represent height. So our required equation would be [tex]y=kx[/tex], where, k is constant of proportionality.
Let us solve for k by substituting [tex]x=5[/tex] and [tex]y=8[/tex].
[tex]8=k*5[/tex]
[tex]\frac{8}{5}=\frac{k*5}{5}[/tex]
[tex]\frac{8}{5}=k[/tex]
[tex]y=\frac{8}{5}x[/tex]
To find the shadow of a 20-ft tree, we will substitute [tex]x=20[/tex].
[tex]y=\frac{8}{5}*20[/tex]
[tex]y=8*4[/tex]
[tex]y=32[/tex]
Therefore, the shadow of tree is 32 feet.
