Final answer:
The student's question pertains to finding specific values for arcs represented in degrees, minutes, and seconds. Using a variety of mathematical concepts such as trigonometry, the Pythagorean theorem, and radians for angle measurements may be necessary, depending on the problem context and the level of precision required.
Step-by-step explanation:
The student is asking about determining the values of two arcs in degrees, with subunits of minutes and seconds. An angle in degrees can be further divided into minutes and seconds, where one degree equals 60 minutes of arc and one minute equals 60 seconds of arc. To find values pertaining to arcs or angles, one might often use trigonometry or geometric principles, and tools such as a protractor for measurement or equations for calculations based on given arcs or straight-line distances. The Pythagorean theorem and trigonometric relationships are also commonly employed methods to determine lengths and angles in various contexts.
For example, to calculate the direction of a resultant vector, one can measure the angle it forms with a reference frame or use trigonometric relationships. If exact values for angles or lengths are not given, one may approximate arcs as straight-line distances for small portions of circles, but this depends on the problem's requirements and accuracy needed.
Moreover, when understanding motion or rotation such as the movement of clock hands, one would use radians for angles in conjunction with relevant formulas to find arc lengths or angles of rotation.