Question 1844Navigation General

The correct answer is B) A circle will pass through your position and the three objects. When using horizontal sextant angles of three objects to fix your position, an indeterminate position will result if a circle can be drawn that passes through your position and the three objects. This is because the intersection of the lines of position formed by the sextant angles will not be a single point, but rather a circle, making it impossible to determine a unique position. The other options are incorrect because: A) The objects lying in a straight line would result in two lines of position intersecting at a single point, providing a determinate position. C) and D) are incorrect because the vessel's position being outside or inside the triangle formed by the objects does not necessarily lead to an indeterminate position.