A force of 457 pounds is acting on an object at an angle of 74 degrees from the horizontal. Another force of 292 pounds is acting at an angle 1 degrees from the horizontal. What is the angle of the resultant force? Round to one decimal place.
A) 45.8 degrees
B) 46.1 degrees
C) 0.7 degrees
D) no solution

Question

Quizplus · Accepted Answer

The angle of the resultant force can be found by first resolving each force into its horizontal and vertical components and then finding the resultant components. The horizontal (Fx) and vertical (Fy) components for each force are calculated as follows:For the 457-pound force:- Fx1 = 457 * cos(74°)- Fy1 = 457 * sin(74°)For the 292-pound force:- Fx2 = 292 * cos(1°)- Fy2 = 292 * sin(1°)The resultant horizontal and vertical components (FRx and FRy) are the sums of the individual components:- FRx = Fx1 + Fx2- FRy = Fy1 + Fy2The angle of the resultant force (θ) with respect to the horizontal is given by:- θ = atan(FRy / FRx)Calculating these values and applying the atan function will give the angle of the resultant force, which is approximately 45.8 degrees.

A Force of 457 Pounds Is Acting on an Object