Question

At a certain time during the day a tall tree casts a shadow of 32 feet. A shorter tree 12 feet tall casts a shadow of 16 feet. What is the height of the taller tree?

28 feet

24 feet

20 feet

16 feet

Answer 1

use ratio and proportion

the tall tree casts a shadow of 32 feet so the ratio of the height of the tree to the shadow is x feet : 32 feet

the shorter tree 12 feet tall casts a shadow of 16 feet so
12 feet : 16 feet

now use proportion

x : 32 = 12 : 16

Answer 2

do you get that? or do you need more help?

Answer 3

more help please.

Answer 4

no wait would it be 16?

Answer 5

no

Answer 6

so more help?

Answer 7

yes i guess so lol

Answer 8

so i can rewrite x : 32 = 12 : 16 as
\[\large \frac{x}{32} = \frac{12}{16}\]
because they are ratios and proportion

now cross multiply
\[\large 16x = 32 \times 12\]
\[\large 16x = 384\]
got it?

Answer 9

ah yes. soo its 24?

Answer 10

yup!

Answer 11

nice

Answer 12

so just always set it up as a potportion?

Answer 13

well it depends on the problem..but considering as it's your lesson..then yeah

Answer 14

ohkay thanks

Answer 15

<tips hat>