The cartesian coordinates of a point in the xy plane are x = −7.11 m, y = −4.41 m. Find the distance r from the point to the origin. Answer

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The cartesian coordinates of a point in the xy plane are x = −7.11 m, y = −4.41 m. Find the distance r from the point to the origin. Answer in units of m.

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Ngọc Diệp 6 months 2021-08-06T14:53:23+00:00 1 Answers 9 views 0

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    2021-08-06T14:54:28+00:00

    Explanation:

    Use Pythagorean theorem:

    r² = x² + y²

    r² = (-7.11 m)² + (-4.41 m)²

    r = 8.37 m

    Use trig to find the angle.

    tan θ = y / x

    tan θ = (-4.41 m) / (-7.11 m)

    θ = 31.8° or 211.8°

    Since x is negative and y is negative, the point is in the third quadrant, so θ = 211.8°.

    Or, if we subtract 360°, θ = -148.2°.

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