SOLUTION: ali is 5'4 tall.at a certain time of day he measures his shadow and finds it is 8' long.he also measures the shadow of a tree which is 40.how tall is the tree

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: ali is 5'4 tall.at a certain time of day he measures his shadow and finds it is 8' long.he also measures the shadow of a tree which is 40.how tall is the tree      Log On


   



Question 1100623: ali is 5'4 tall.at a certain time of day he measures his shadow and finds it is 8' long.he also measures the shadow of a tree which is 40.how tall is the tree
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
ali is 5'4 tall.at a certain time of day he measures his shadow and finds it is 8' long.
he also measures the shadow of a tree which is 40.
how tall is the tree
:
ratios of the shadows to their objects is the same.
change 5' 3" to feet. 5 + 4/12 = 5.33 ft
let t = the height of the tree
t%2F40 = 5.33%2F8
cross multiply
8t = 5.33 * 40
8t = 213.33
t = 213.33%2F8
t = 26.67 ft or 26 + .67(12) = 26 ft 8 in is the height of the tree