To solve the problem, let's first analyze the information given in the image. The problem asks us to:

1. Determine the magnitude and direction of the resultant force.
2. Determine the moment at point A.

Step-by-Step Solution

Step 1: Identify the Forces

From the image, we have the following forces applied to the structure:

• A vertical force of 200 lb acting upward at point A.
• A force of 100 lb acting horizontally to the right at point C.
• A force of 50 lb acting downward at point B.
• Another force of 70 lb acting at an angle of 30 degrees to the horizontal at point D.

Step 2: Determine the Resultant Force

To find the resultant force, we need to resolve all forces into their x (horizontal) and y (vertical) components:

1. Vertical components (Fy):

   • $F_{A_y} = 200$ lb (upward)
   • $F_{B_y} = -50$ lb (downward)
   • $F_{D_y} = 70 \sin(30^\circ) = 70 \times 0.5 = 35$ lb (upward)

   Total vertical force (Fy): [ F_y = F_{A_y} + F_{B_y} + F_{D_y