Question

A person who is 6 feet tall isStanding 154 feet from the base of a tree, in the tree cast 160 foot shadow. The person shadow is 11 feet in length what is the height of the tree

Answer 1

87 3/11 ft

Explanation:

The shadows are presumed to be in proportion, so we have ...

(object height)/(shadow length) = (6 ft)/(11 ft) = (tree height)/(160 ft)

Multiplying by 160 ft, we find ...

(tree height) = (6 ft)(160/11)

(tree height) = 87 3/11 ft