1. **Problem Statement:** We have a fishing line with a tensile strength of 25 lbs used at point B to fasten two members together. We need to find the maximum force $F$ that can be supported without breaking the fishing line. 2. **Understanding the problem:** The tensile strength of the fishing line is the maximum tension it can withstand before breaking, which is 25 lbs. 3. **Assumptions and setup:** Assuming the force $F$ is applied in such a way that it creates tension in the fishing line at B, the maximum tension in the line equals the tensile strength. 4. **Formula and approach:** The tension $T$ in the fishing line relates to the applied force $F$ depending on the geometry (angles) of the members and the line. Without a diagram or angles, the simplest assumption is that the tension equals the force $F$ or a component of it. If the fishing line is directly opposing the force $F$, then: $$T = F$$ Since the maximum tension $T_{max} = 25$ lbs, the maximum force $F_{max}$ supported is: $$F_{max} = 25 \text{ lbs}$$ 5. **Conclusion:** The maximum force $F$ that can be supported without breaking the fishing line is 25 lbs. If more details (angles or geometry) are provided, the force can be related to tension via trigonometric components.