Question

a tree casts a shadow 27meters long.a nearby by post that is 5 meters tall casts a shadow 3 meters long. how tall is the tree? (hint: set up proportion to solve)​

Answer 1

5 x 27=135
3 x x= 135
135/3=45 = lenght of tree

Answer 2

The tree is 45 meters high.

Explanation:

Drawing this out will make it much easier.

In the figure, 3 is proportional to 27, and 5 is proportional to the missing side (x).

Insert the figures into an equation and solve:

3/5 * 27/x

Cross multiply:

3(x)= 27(5)

3x=135

135/3=x

x=45