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While exploring a cave, a spelunker starts at the entrance and moves the following distances: 75.0 m north, 290 m east, 180 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement from the cave entrance.

  • physics -

    break it down to horizontal (x) and vertical (y) components!

    horizontal
    x = 290m + 180(cos30)m

    vertical
    y = 75m + 180(sin30)m -180 m

    perform Pythagorean theorem
    sqrt(x^2 + y^2)=?

    displacement also has direction:
    tan^-1(y/x)=?

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