Final answer:
The question seems to pertain to angle measurement, likely in a geometric or physics context, but lacks sufficient detail for a specific answer on m∠1. Conversions between different angle units and understanding the trigonometric functions involved in vector resolution are crucial aspects of this topic.
Step-by-step explanation:
The question regarding m∠1 appears to relate to the measurement of an angle, presumably from a geometric or physical scenario. Based on provided details, such as 02 = tan⁻¹ (-1.129)= 311.5° ≈ 312º, it is clear that we are dealing with trigonometric calculations possibly linked to a physics application involving angles of incidence, reflection, or some type of vector analysis. However, the question, as stated, does not include enough information or context to pinpoint the precise method or solution to determine m∠1. To measure angles, we use degrees, minutes, and seconds, where one degree contains 60 minutes and one minute contains 60 seconds.
Regarding practice problems like finding the angle between the hour and minute hand at a specific time, require an understanding of the movement of clock hands and their relative positions. In physics, we often decompose vectors into their components, and the resolution of these components involves trigonometric functions, as seen in the equation, m1 sin 01 -V'1 m2 sin 02, where m1, m2 are masses, 01 and 02 are angles, and V'1 denotes a velocity after a collision.
To convert angle measures, it's essential to understand that 1 radian (rad) is approximately 57.30°, and there are 2π radians in one full revolution (360°). This conversion is crucial for moving between linear and angular measurements in mathematical and engineering applications.