Answer:
the angle of the vector, using the inverse tangent function, is approximately 14.04 degrees.
Step-by-step explanation:
To find the angle of a vector with given x and y components, we can use the inverse tangent (arctan) function. The formula is as follows:
Angle = arctan(y-component / x-component)
Given:
x-component = 8
y-component = 2
Using these values, we can calculate the angle as:
Angle = arctan(2 / 8)
Calculating this expression, we find:
Angle ≈ arctan(0.25) ≈ 14.04 degrees