Final answer:
The statement about the one in sixty rule using trigonometry is True. Trigonometry principles based on right-angle triangles are applied in various contexts, including aviation, vector analysis, and calculation of resultant vectors.
Step-by-step explanation:
The statement "The one in sixty rule uses trigonometry functions of the right-angle triangle as its principle of operation" is True. The one in sixty rule is a rule of thumb used in aviation and navigation that relies on the properties of a right-angle triangle to estimate a course correction. It asserts that a one-degree error in heading will result in a deviation from the intended track of one nautical mile after sixty nautical miles travelled.
In more general terms related to trigonometry and vectors:
- Pythagorean theorem: This theorem can indeed be used to calculate the length of the resultant vector when two vectors are at right angles to each other.
- Vector Components: A vector can definitely form the shape of a right-angle triangle with its x and y components.
- Angles and Resultant Vectors: Knowing only the angles of two vectors is not sufficient to determine the angle of their resultant addition vector, unless some information about the magnitudes is also known.
- Magnitude and Direction: If we have the angles of two vectors and the magnitude of one, we can indeed find the magnitude and direction of the resultant vector.