For the hook support shown, determine by trigonometry the magnitude and direction of the resultant of the two forces applied to the hook.
Step No: 1
Draw a triangle with the forces as shown:
Here, R is the resultant of the two forces.
Step No: 2
Apply law of cosines to find the resultant R.
Therefore, the resultant of two forces applied to the hook is .
Step No: 3
Apply sine rule to find the direction of resultant force.
Substitute 413.569lb for R.
Find the angle of the resultant with respect to the horizontal.
Substitute for .
Therefore, the angle made by the resultant with the resultant is