If you are looking for the way back, just reverse the displacement: 33 m west, then 41 m south, then 29 m north.

Calculating the displacement in polar coordinates requires us to first find the cartesian (x, y) coordinates and then convert them to polar coordinates. Our movements in x (east-west) direction are: 33 m east (which we'll mark as positive) and 29 m northwest (which has a west component). The westward component of a northwest movement can be calculated using trigonometry, as northwest could be represented as a 45 degrees angle with both north and west. The westward movement is 29 m * cos(45), which is about 20.51 m west (we'll mark as negative). Our movements in y (north-south) direction are: 41 m south (which we'll mark as negative) and 29 m northwest (which has a northern component). The northward component is 29 m * cos(45), which is about 20.51 m north (we'll mark as positive). Calculating net displacements: Net displacement in x direction = 33 m east - 20.51 m west = 12.49 m Net displacement in y direction = 20.51 m north - 41 m south = -20.49 m To represent these in polar coordinates, we find the magnitude (r) and the direction (θ) of the displacement. The magnitude can be found using the Pythagorean theorem a² + b² = c²: r = sqrt((12.49 m)² + (-20.49 m)²) = sqrt(156.2401 + 419.8401) = sqrt(576.0802) = 24 m (rounded) The direction can be found using the arctan function: θ = arctan((-20.49 m) / (12.49 m)) = -59 degrees In the context of polar coordinates, the negative sign indicates a direction 59 degrees below the x-axis, or to the southeast. So your displacement in polar coordinates is about 24 m to the southeast.