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)

The tree is 45 meters high.

Step-by-step 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

5 x 27=135

3 x x = 135

135/3=45 = lenght of tree