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While exploring a cave, a spelunker starts at the entrance and moves the following distances: 75.0 m north, 260 m east, 195 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement from the cave entrance.

  • physics -

    Let x=east, y=north
    and 0° towards the +x-axis (due East)
    and 90° = due north.
    Separate each displacement into the x- and y-components and add.
    distance angle x y
    75m N=90° 75cos(90°) 75sin(90°)
    260m E=0° 260cos(0) 260sin(0)
    195m 30°N of E = 30° 195cos(30°) 195sin(30°)
    ...

    Add up algebraically the x- and y-components. The sum will be the x- and y-components of the resultant displacement vector.

  • physics -

    A cave explorer is called a speleologist.

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