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Answer to Question #15493 in Mechanics | Relativity for Angel

Question #15493
While exploring a cave, a spelunker starts at the entrance and moves the following distances: 75.0m north, 300m east, 210m at angle of 30.0 degrees north of east, and 150m south. Find the resultant displacement from the cave entrance.
Expert's answer
Assuming north and east directions as positive, getting:
N = 75.0 + 210 *
sin30 - 150 = 30 m
E = 300.0 + 210 * cos30 = 481.9 m
So, the resultant
displacement L = sqrt( N^2 + E^2 ) = sqrt(900 +232194) = 482.8 m

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