1. The problem is to understand or use the angle given, which is $36.9^\circ$. 2. Angles are measured in degrees and are used in various math and physics problems, such as trigonometry, geometry, and vector calculations. 3. If you want to find the sine, cosine, or tangent of this angle, you can use the formulas: - $\sin(\theta)$ gives the ratio of the opposite side to the hypotenuse in a right triangle. - $\cos(\theta)$ gives the ratio of the adjacent side to the hypotenuse. - $\tan(\theta)$ gives the ratio of the opposite side to the adjacent side. 4. For example, to find $\sin(36.9^\circ)$, use a calculator or trigonometric tables: $$\sin(36.9^\circ) \approx 0.6$$ 5. Similarly, $\cos(36.9^\circ) \approx 0.8$ and $\tan(36.9^\circ) \approx 0.75$. 6. These values are useful in solving problems involving right triangles or vectors where this angle appears.