The locations, given in polar coordinates, for two ships are (8 mi, 63º) and (8 mi, 123º). find the distance between the two ships.

The arrangement forms an isosceles triangle with equal legs of 8 mi. The angle between the legs is,

123-63 = 60°. Therefore, the other two angles ares:

Angles = (180-60)/2 = 120/2 = 60°

It can therefore be noted that all angles are equal and thus the resulting triangle is actual an equilateral triangle and thus all the sides are equal.

It can be concluded that the ships are 8 miles apart.