Final answer:
The angle or direction of vector A with components Ax = 44.4 m and Ay = 25.1 m can be calculated using arctan(Ay/Ax), yielding approximately 29.6° north of east.
Step-by-step explanation:
To find the direction of vector A given its components Ax = 44.4 m and Ay = 25.1 m, we can use trigonometry. The direction of a vector is commonly expressed as an angle relative to the positive x-axis.
We use the tangent function, which relates opposite and adjacent sides of a right triangle, to calculate this angle. The formula to find the angle (θ) is:
θ = arctan(Ay/Ax)
Plugging in the values, we have:
θ = arctan(25.1 / 44.4) ≈ arctan(0.565) ≈ 29.6°
Therefore, the direction of vector A is approximately 29.6° north of east.