Apost 4 feet tall casts a shadow 3.5 feet long. a tree at the same time of day casts a shadow 24.5 feet long. find the height of the tree showing all work.

The Tree is 28 ft tall

How do we know this. To solve this problem we can use proportions.

4 → 3.5

x → 24.5

So now our unit number can be found doing 24.5 ÷ 3.5 = 7 So x ÷ 4 must also equall 7. 

We can make equation: x ÷ 4 = 7

Know we can use our knowledge of finding x.

x = 7 × 4
x = 28

The tree is 28 ft tall.

Lets check our answer!

4 → 3.5

28 → 24.5

4 * 7 = 28

3.5 * 7 = 24.5

Free points baby. free points baby. free points baby. hell yeah!