Final answer:
The maximum range of it is achieved at a 45° angle of inclination without air resistance, with two angles summing to 90° achieving the same range. In optics and telescopic observations, angles are measured for various phenomena, from diffraction to angular magnification and elevation angle measurements.
Step-by-step explanation:
The range of the angle of inclination for systems like the Univers II & Apex system is dependent on projectile motion principles. The range is maximum at a 45° angle, only when air resistance is neglected. When air resistance is factored in, the optimal angle to achieve the maximum range is slightly less than 45°. Interestingly, the same range can be obtained for two launch angles that together add up to 90°. However, the projectile that is launched at the lesser angle reaches a lower apex compared to one launched at the higher angle, yet they both achieve the same range.
In topics such as optics and telescopic observations, different concepts involve measuring angles in different contexts, such as diffraction, angular magnification, and celestial observation, like the telescopic elevation angle, which ranges from –90° (nadir) to +90° (zenith).