Final answer:
The magnitude of the resultant force from two perpendicular forces can be calculated using the Pythagorean theorem, and the angle between the resultant force and one of the forces can be found using trigonometry such as the arctan function.
Step-by-step explanation:
The magnitude of the resultant force when two forces are applied can be found using vector addition. For forces of 20 pounds and 32 pounds, a graphical representation using a scale drawing or trigonometric methods can be used to determine the resultant force. If we assume these two forces are at a 90-degree angle, the magnitude of the resultant force would be calculated using the Pythagorean theorem: √(20^2 + 32^2) pounds. To find the angle between the resultant force and the force with a magnitude of 20 pounds, trigonometric functions like the arctan can be applied if the angle between the forces is known.
The measurement of the angle would be θ = arctan(opposite/adjacent) = arctan(32/20) degrees. Convert θ to a whole number to get the angle to the nearest whole degree.