Final answer:
To find the resultant force, we break down each force into its horizontal and vertical components. Then, we add up the horizontal and vertical components separately and use the Pythagorean theorem to find the magnitude of the resultant force. The angle of the resultant force can be found using the inverse tangent function.
Step-by-step explanation:
To find the resultant force, we need to break down each force into its horizontal and vertical components. For the first force (100N at 170.0°), the horizontal component is 100N * cos(170.0°) and the vertical component is 100N * sin(170.0°). Similarly, for the second force (100N at 50.0°), the horizontal component is 100N * cos(50.0°) and the vertical component is 100N * sin(50.0°).
Next, we add up the horizontal components and the vertical components separately. Finally, we can use the Pythagorean theorem to find the magnitude of the resultant force by taking the square root of the sum of the squares of the horizontal and vertical components. The angle of the resultant force can be found using the inverse tangent function.