Final answer:
The question seems unclear due to typos, but based on relevant information, it could involve vector addition or properties of angles in a geometric or physical context, such as vector displacement or diffraction patterns.
Step-by-step explanation:
The question appears to be seeking the missing angle(s) in a geometric context, possibly related to vector addition or properties of angles. However, the question itself contains typos, making it unclear what the proper setup should be. Based on the additional information provided and the potential context of vectors and angles in two-dimensional space, I can offer an example of how you might approach a question involving the sum of vectors and the determination of resulting angles.
When you walk 18.0 m straight west and then 25.0 m straight north, these movements can be represented as perpendicular vectors A and B. To find the resultant vector R, we use the Pythagorean theorem:
- R = √(A2 + B2) = √(18.02 + 25.02)
- Then, R = √(324 + 625)
- R = √(949)
- R ≈ 30.8 m
The direction of R is found by calculating the arctangent of the opposite side over the adjacent side (25.0 m / 18.0 m), which gives us the angle north of west. If necessary, the reference to specific angles in the residual information (like the angles 30.1°, 48.7°, etc.) could be part of explaining how angles relate to vector properties in a given scenario, such as diffraction patterns or angle magnitudes in physics problems involving lines on a plane.