Problema Solution
To estimate the height of a tree, Dave stands in the shadow of the tree so that his shadow and the tree's shadow end at the same point. Dave is 6 feet 4 inches tall and his shadow is 15 feet long. If he is standing 66 feet away from the tree, what is the height of the tree
Answer provided by our tutors
Make a good drawing.
6 ft 4 in = 4 + 4/12 = 4 + 1/3 = 13/3 ft
let h = the height of the tree
the height of Dave to his shadow = the height of the tree to the shadow of the tree
(13/3) : 15 = h : (66 + 15)
by solving for h we find
h = 23.4 ft
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the height of the tree is 23.4 feet.