Doug McMillon initially heads eastward on a sunny morning, enjoying the fresh air, and...
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Doug McMillon initially heads eastward on a sunny morning, enjoying the fresh air, and covers a distance of 69.7 meters. He then decides to explore a little more and makes a left turn, walking 36.9 meters in a straight path. Feeling curious about his surroundings, he takes another left turn and continues forward for 45.8 meters, taking in the sights along the way. Suddenly, he spots a colorful bird and makes one more left turn and cover a distance of 36.9m to get a better view. What is the current distance between Arjun and his initial starting point?
Show answer & explanation
The movement describes a rectangular path where the person moves East, North, West, and South. The final distance from the starting point is the difference between the Eastward and Westward displacements.
Step-by-step Derivation:
Step 1: Define the starting point as (0, 0) on a Cartesian plane.
Step 2: First movement (East): Doug moves 69.7m East. New position: (69.7, 0).
Step 3: Second movement (Left turn from East is North): Doug moves 36.9m North. New position: (69.7, 36.9).
Step 4: Third movement (Left turn from North is West): Doug moves 45.8m West. New position: (69.7 - 45.8, 36.9) = (23.9, 36.9).
Step 5: Fourth movement (Left turn from West is South): Doug moves 36.9m South. New position: (23.9, 36.9 - 36.9) = (23.9, 0).
Step 6: Calculate the distance from the starting point (0, 0) to the final point (23.9, 0) using the distance formula: Distance = sqrt((23.9 - 0)^2 + (0 - 0)^2) = 23.9m.