The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)
The distance between both lighthouses is 5783.96 m
I've added an attachment that represents the scenario.
From the attachment, we have:

Convert to degrees





Convert to degrees



So, the measure of angle S is:
---- Sum of angles in a triangle


The required distance is distance AB
This is calculated using the following sine formula:

Where:

So, we have:

Make AB the subject


Hence, the distance between both lighthouses is 5783.96 m
Read more about bearing and distance at:
brainly.com/question/19017345
The hypotenuse of the triangle would be the diameter of the semi circle.
Using the Pythagorean theorem you can find that.
8^2 + 6^2 = x^2
64 +36 = x^2
100 = x^2
x = √100
x = 10
The diameter is 10, now find the circumference.
Circumference = diameter x PI = 10 x 3.14 = 31.4
Since it is a semi circle, the circumference would be 1/2 of that.
31.4 / 2 = 15.7
The perimeter would be 8 + 6 + 15.7 = 29.7
4/15 of the Primary School chose chicken nuggets.
The answer is in the photo provided
The answer to your equation is 88