A person going for a walk follows the path shown in Figure P1.51. The total trip consists of four straight-line paths. At the end of the walk, what is the person's resultant displacement measured from the starting point?

Key Concepts: Displacement Explanation: To find the resultant displacement of the person, we need to add up all the individual displacements. We can use the Pythagorean Theorem to find the magnitude of the resultant displacement and trigonometry to find its direction. Step by Step Solution: Step 1. Calculate the displacement in the x-direction: (-180 m) + (300 m*cos(60°)) + (100 m*cos(45°)) + (80 m)= 88.4 m Step 2. Calculate the displacement in the y-direction: (0 m) + (300 m*sin(60°)) + (100 m*sin(45°)) + (0 m) = 307.1 m Step 3. Calculate the magnitude of the resultant displacement using the Pythagorean Theorem: |d| = sqrt((88.4 m)^2 + (307.1 m)^2) = 320 m Step 4. Calculate the direction of the resultant displacement using trigonometry: θ = tan^-1 (307.1 m/88.4 m) = 73.6° Step 5. Round the magnitude to one decimal place and state the direction relative to the starting point: The person's resultant displacement is 320.0 m at a direction of 73.6° from the starting point, measured counterclockwise. Final Answer: The person's resultant displacement is 320.0 m at a direction of 73.6° from the starting point, measured counterclockwise.