Problema Solution
a tree casts a shadow 32 feet long, at the same time, a vertical rod 18 feet high casts a shadow 12 feet long. how tall is the tree?
Answer provided by our tutors
let
x = the heights of the tree
since the shadow of the tree and the vertical rod is measured at same time triangle formed by the tree and its shadow and the triangle formed by the vertical rod and its shadow are similar and we have the following proportions
x : 32 = 18 : 12
x = (32*18)/12
x = 48 ft
the tree is 48 ft tall.