A vector is given by: \[ V=-82.3 i+42.3 j \] What is the direction of the vector $\mathrm{V}$, as an angle, counter-clockwise relative to the positive $\mathrm{x}$-axis (i.e. the standard position)? Round your answer to the first decimal place. Add your answerI

Step 1 ：A vector is given by: \(V=-82.3 i+42.3 j\)

Step 2 ：The direction of a vector can be calculated using the arctangent function. The arctangent function, atan2(y, x), returns the angle in radians between the positive x-axis and the point given by the coordinates (x, y).

Step 3 ：In this case, the x and y coordinates are given by the i and j components of the vector, respectively.

Step 4 ：The result is then converted from radians to degrees using the degrees function.

Step 5 ：The final answer is rounded to the first decimal place.

Step 6 ：Let's calculate: \(i = -82.3\), \(j = 42.3\), \(angle_{rad} = 2.66682902107375\), \(angle_{deg} = 152.79804759053076\), \(angle_{deg_{rounded}} = 152.8\)

Step 7 ：Final Answer: The direction of the vector \(V\), as an angle, counter-clockwise relative to the positive x-axis is \(\boxed{152.8}\) degrees.