Asked by Kailey
The cartesian coordinates of a point in the xy plane are x= -3.64 m, y = -1.75 m.
1. Find the distance, r, from the point to the origin. Answer in units of m.
2. Calculate the angle between the radius-vector of the point and the positive x axis (measured counterclockwise from the positive x axis, within the limits of -180 degrees to +180 degrees). Answer in units of degrees.
1. Find the distance, r, from the point to the origin. Answer in units of m.
2. Calculate the angle between the radius-vector of the point and the positive x axis (measured counterclockwise from the positive x axis, within the limits of -180 degrees to +180 degrees). Answer in units of degrees.
Answers
Answered by
drwls
1. Use the Pythagorean Theorem
sqrt[(3.64)^2 + (1.75)^2] = ___
2. The angle is in the third quadrant. The angle or the radius vector with the -x axis is
arctan 1.75/3.64 = 25.7 degrees
The angle is 205.7 degrees, but they want it expressed as between -180 and +180, so that would be -154.3 degrees
sqrt[(3.64)^2 + (1.75)^2] = ___
2. The angle is in the third quadrant. The angle or the radius vector with the -x axis is
arctan 1.75/3.64 = 25.7 degrees
The angle is 205.7 degrees, but they want it expressed as between -180 and +180, so that would be -154.3 degrees
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