given: F: 450 lb at 45 degrees (north west), Q: 200lb at 30 degrees (north east) , compute for the resultant using trigonometric method and analytical method

To find the resultant force using both the trigonometric and analytical methods, we'll break down the forces \( F \) and \( Q \) into their components and then combine them.

### 1. **Given Information**:
- \( F = 450 \, \text{lb} \) at 45 degrees (northwest)
- \( Q = 200 \, \text{lb} \) at 30 degrees (northeast)

### 2. **Trigonometric Method**:

#### Step 1: Resolve Each Force into Components
For \( F = 450 \, \text{lb} \) at 45° (northwest):
- \( F_x = F \cos(45^\circ) = 450 \cos(45^\circ) \)
- \( F_y = F \sin(45^\circ) =

Learn how to calculate the resultant force of vectors using trigonometric and analytical methods. Solve a problem involving forces \( F = 450 \, \text{lb} \) at 45 degrees (northwest) and \( Q = 200 \, \text{lb} \) at 30 degrees (northeast) with detailed step-by-step solutions. Suitable for college-level students studying trigonometry and vector analysis.

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