Mariana finds a cave to explore. Starting at the cave entrance, Mariana first follows a passage 75.0 m north, then turns and moves 250 m east, then goes 115 m at an angle 30.0° north of east, and finally moves 179 m south. Find the resultant displacement from the cave entrance. Shown is a sketch of the situation not drawn to scale. (Give the magnitude of the displacement in m and the direction in degrees south of east.)

A sketch of the situation not drawn to scale. A compass rose, with North up along the page and East to the right along the page, is next to the diagram. A vector starts at a point labeled "Cave entrance" and extends vertically. A second vector starts at the tip of the first vector and extends horizontally. A third vector starts at the tip of the second vector and extends up and to the right at an angle θ above the horizontal. A fourth vector starts at the tip of the third vector and extends directly down to end at a point labeled "Final position".

What is the resultant displacement from the entrance?

magnitude m direction ° south of east