Final answer:
The magnitude of the resulting vector is found using trigonometry and the Pythagorean theorem, starting by calculating the distance y as yv = x tan 0y, with provided values for x and angle 0y. The resultant vector magnitude R is then found using Ry = Ay + By and applying the Pythagorean theorem.
Step-by-step explanation:
To determine the magnitude of the resulting vector and find the distance y, we can use trigonometric relationships and the Pythagorean theorem. Given that tan 0 = y/x, we can calculate the distance yv as yv = x tan 0y, which, with a given x value and angle 0y, results in yv being equal to 0.815 m. In addition, if given components Ay and By of a resultant vector Ry, knowing Ry = Ay + By, we use the Pythagorean theorem to find the magnitude of the resultant vector R.
This step-by-step approach is crucial for solving physics problems involving vectors and trigonometry. Precision is critical, which is why values are calculated to four significant figures.