SOLUTION: On a sunny day when a 6 foot tall person casts a shadow 2 feet 6 inches long a tree cast a 40 foot shadow how tall is the tree

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Question 1195778: On a sunny day when a 6 foot tall person casts a shadow 2 feet 6 inches long a tree cast a 40 foot shadow how tall is the tree
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
similar right triangles
setup a proportion

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

a 6+foot tall person casts a shadow 2 feet 6 inches long (2.5ft)
a tree cast a 40 foot shadow
let the height of the tree be x
we know that height of the person and tree are proportional to the length of their shadows
6%2F2.5=x%2F40
%286%2F2.5%2940=x
x=96ft
the tree is+96ft tall