Find the direction angle for the given vector. Give your answer in degrees, rounded to one decimal place.
\[
\mathbf{v}=5 \mathbf{i}+14 \mathbf{j}
\]

Step 1 ：Given the vector \(\mathbf{v}=5 \mathbf{i}+14 \mathbf{j}\)

Step 2 ：The direction angle of a vector can be found using the arctangent function (also known as the inverse tangent or atan). The direction angle is the angle between the vector and the positive x-axis.

Step 3 ：In this case, we can use the formula atan(j/i) where i and j are the components of the vector. We need to convert the result from radians to degrees.

Step 4 ：Let i = 5 and j = 14

Step 5 ：Calculate the angle in radians: angle_radians = 1.2277723863741932

Step 6 ：Convert the angle from radians to degrees: angle_degrees = 70.3461759419467

Step 7 ：Final Answer: The direction angle for the given vector is \(\boxed{70.3}\) degrees.