Question

As one of the grade 9 top performing students competing for the “Boy Scout of the Year” award, you are assigned by your scoutmaster to design a camping site for the coming Boy Scout in-door camping. You have to maximize the area at which the 20 scouts can assemble their own tents. The tents should be equally spaced and must be situated at the same distance of 20 m from the tent of the scout master, which is located at the center of the scouts. The angle at which the tents are positioned from the scoutmaster should be approximately the same. Would you know how far apart the tents of the scouts are from each other?

Answer 1

Yes you would know

Explanation:

We can view these tents as sides on a shape that is 30 sided, with lines connecting each tents together.

After this we calculate the interior angle of each side, and use our given 20m to calculate it.