Answer:
Step-by-step explanation:

Answer:
The answer to your question is the letter a) √3/3
Step-by-step explanation:
Data
find tan 30°
Use the triangle 30°-60°-90° (see the picture below)
Tangent is the trigonometric function that relates the Opposite side and the adjacent side.
tan Ф = Opposite side / Adjacent side
-Substitution
tan Ф = 1/√3
or 1/√3 √3/√3 = √3/3
The relationship between the number of pentagons and the perimeter will be

From the diagram in the question, each side of a pentagon has length
.
Also, each time another pentagon is attached, a side is removed.
Using these observations, we can create a relationship between the number of pentagons,
, and the perimeter,
, as follows
For 

For 

For 

The relationship will be

Learn more about perimeter here: brainly.com/question/17756657