A man starting from point p walks 3km on a bearing of 040 from q he walks on a bearing of 308 until he is due North of p find the total distance he walks

Answer 1

You left out some important information, but I assumed he walked from P to Q.
Let R be due north of P.
Then in triangle PQR, find PR using the law of cosines.
Note that angle Q = 88°
Then just add up the three sides of the triangle.