Final answer:
The correct answer is b) 247.48 lb.
Step-by-step explanation:
To find the resultant force on the screw eye, we need to add the forces exerted by the two ropes. One rope is horizontal and the other is vertical. Since the force in each rope is 175 lb, we can use the Pythagorean theorem to find the magnitude of the resultant force.
Using the formula a^2 + b^2 = c^2, where a = 175 lb and b = 175 lb, we have c^2 = 175^2 + 175^2. Solving for c, we get c = √(175^2 + 175^2) ≈ 247.48 lb.
Therefore, the resultant force on the screw eye is approximately 247.48 lb, so the correct answer is b) 247.48 lb.