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7 December, 21:13

A plane flies along a straight line path after taking off, and it ends up 190 km farther east and 80.0 km farther north, relative to where it started. What is the plane's displacement?

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  1. 7 December, 21:37
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    You can use the Pythagorean theorem to solve this problem.

    Along the x-axis, displacement is 190km

    Along the y-axis, displacement is 80km

    x² + y² = r²

    [solve for r]

    r = √ ((190) ² + (80) ²)

    r = 206.16km

    tanθ = (y/x)

    [solve for θ]

    θ = tan⁻¹ (80/190)

    θ = 22.83°

    Therefore, displacement of plane is 206.16 km 22.83° north of east

    or

    206.16 km 67.17° east of north.
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