F1 = 92 N

F2 = 104 N

θ1 = 32.7 Degrees

To solve this, it looks like you want to compute the resultant of two forces acting at an angle. The given forces are:

- **Force 1 (F1) = 92 N**
- **Force 2 (F2) = 104 N**
- **Angle θ1 between F1 and F2 = 32.7 degrees**

### Formula for Resultant Force (R):
The resultant \( R \) of two forces acting at an angle \( \theta \) can be calculated using the law of cosines:

\[
R = \sqrt{F1^2 + F2^2 + 2 \cdot F1 \cdot F2 \cdot \cos(\theta)}
\]

Where:
- \( F1 \) and \( F2 \) are the magnitudes of the forces.
- \( \theta \) is the angle between them.

Let me compute that for you.The resultant force \( R \) is approximately **188.1 N**.

Would you like more details or explanations about this result?

Here are some follow-up questions you might consider:
1. What if the angle between the forces was 90 degrees?
2. How would the resultant force change if one of the forces was doubled?
3. What is the direction of the resultant force?
4. How do we break the forces into components?
5. Can we calculate the components of the resultant force?

**Tip:** Remember that angles in physics problems often need to be converted to radians when performing trigonometric calculations.

F1 = 92 N, F2 = 104 N, θ1 = 32.7 Degrees

Learn how to calculate the resultant of two forces, F1 = 92 N and F2 = 104 N, acting at an angle of 32.7 degrees using the law of cosines. This solution is suitable for high school students (Grades 10-12) studying physics and trigonometry.

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