Answer:
θ=66.42°
β=23.5781°
Explanation:
component in y: Ry = 400 Lb
Resultant = R = 1000 Lb
to calculate the angle θ we use the cosine function
cosθ=400/100
θ=arccos(400/100)=66.42°
remember that the angles of internal of a triangle measure 180 degrees
β =180°-66.42°-90°( right angle)
β=23.5781°