Answer:
The x-component of the vector is approximately 75.2231 meters.
Step-by-step explanation:
To find the x-component of the vector with an angle of 42.2 degrees and a magnitude of 101 meters, you can use trigonometry. The x-component of the vector is the projection of the vector onto the x-axis.
The x-component can be calculated using the formula:
x-component = magnitude * cos(angle)
where magnitude is the length of the vector and angle is the angle measured from the positive x-axis.
Given the magnitude (101 m) and the angle (42.2°), we can plug these values into the formula and calculate the x-component:
x-component = 101 m * cos(42.2°)
Using a calculator, we get:
x-component ≈ 101 m * 0.7431
x-component ≈ 75.2231 m
So, the x-component of the vector is approximately 75.2231 meters.