Answer: The tree is 20 feet tall
Step-by-step explanation:
Notice that the height in feet of the tree is represented with "x".
Based on the picture, you can write the following proportion in order to calculate the height of the tree:
[tex]\frac{5}{8}=\frac{x}{32}[/tex]
Now, to find the value of "x", you need to solve for "x".
To do this, you can apply the Multiplication property of equality, which states that:
If [tex]a=b[/tex], then [tex]a*c=b*c[/tex]
Therefore, based on this, you can mulitply both sides of the equation by 32.
The result is:
[tex](32)(\frac{5}{8})=(\frac{x}{32})(32)\\\\\frac{160}{8}=x\\\\x=20[/tex]