To find the x-component of a vector given its magnitude and angle, you can use trigonometry. In this case, the vector has a magnitude of 20.2 m and makes an angle of 60.0° counterclockwise from the y-axis (on the side of the -x-axis).
The x-component can be calculated using the formula: x-component = magnitude * cos(angle).
Plugging in the values:
x-component = 20.2 m * cos(60.0°)
Using the cosine of 60.0° (which is 0.5):
x-component = 20.2 m * 0.5
Calculating the result:
x-component = 10.1 m
Therefore, the x-component of the vector is 10.1 m.