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 100 m at an angle 30.0° north of east, and finally moves 159 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.) Cave entrance direction N W-DE Final position What is the resultant displacement from the entrance? magnitude 347.46 x Write the components of each displacement vector, using +x as the east direction, and +y as the north direction. Sum the x-components and y-components, and use the Pythagorean theorem to find the total displacement. Be mindful of your signs. m south of east

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 100 m at an angle 30.0° north of east, and finally moves 159 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.) Cave entrance direction N W-DE Final position What is the resultant displacement from the entrance? magnitude 347.46 x Write the components of each displacement vector, using +x as the east direction, and +y as the north direction. Sum the x-components and y-components, and use the Pythagorean theorem to find the total displacement. Be mindful of your signs. m south of east