Question

M. Proportions

1) Write a proportion for the situation, then solve the
proportion to answer the question.
nation:
a. A 6 foot high fence casts a 7 foot shadow.
Standing beside the fence is a tree that casts a
31.5 foot shadow. How tall is the tree?

Answer 1

height of tree is 27 ft

Explanation:

The corresponding parts of the problem are in proportion

let h be the height of the tree , then

`(6)/(h)` =
`(7)/(31.5)` ( cross- multiply )

7h = 189 ( divide both sides by 7 )

h = 27

Height of tree is 27 feet