Mathematics
OpenStudy (anonymous):

a tree casts a shadow 24 feet long. at the same time, a vertical rod 20 feet high casts a shadow 12 feet long. How tall is the tree???

8 years ago
OpenStudy (anonymous):

okay lets take this one step at a time. a 20 feet high rod casts as 12 foot shadow. what is the length of the shadow of the tree?

8 years ago
OpenStudy (anonymous):

set up a ratio

8 years ago
OpenStudy (anonymous):

it is 24 feet. 24 feet is two times 12 feet. so the shadow of the tree is twice the length of the shadow of the rod. what does this tell you about the height of the tree in relation to the height of the rod?

8 years ago
OpenStudy (anonymous):

still lost

8 years ago
OpenStudy (anonymous):

8 years ago
OpenStudy (anonymous):

does this mean that the tree is 48 feet tall???

8 years ago
OpenStudy (anonymous):

8 years ago
OpenStudy (anonymous):

so what would it be???

8 years ago
OpenStudy (anonymous):

40 feet 12x =20*24 = 40

8 years ago
OpenStudy (anonymous):

$x \over 24$ = $20 \over 12$ and corss multiply

8 years ago
OpenStudy (anonymous):

cross*

8 years ago
OpenStudy (anonymous):

thank you so much it was right!!!

8 years ago