Answer:
[tex]\frac{6}{8}=\frac{h}{13.5}[/tex]
Step-by-step explanation:
This problem can be solved by using a proportion.
Remember that a proportion is an equality between two ratios. In this case, one ratio could be 6/8 and the other one could be x/13.5, where the numerators are the height of Abel and the lamppost, and the denominators are the shadow lengths.
So, the proportion is
[tex]\frac{6}{8}=\frac{h}{13.5}[/tex]
This equation can be used to find the height of the lamppost.
If we solve for [tex]h[/tex], we can find the answer
[tex]h=\frac{6(13.5)}{8}\\ h \approx 10.13[/tex]
However, the question is onlu asking for the equation. So, the answer is
[tex]\frac{6}{8}=\frac{h}{13.5}[/tex]