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Answer on Trigonometry Question for Kristen Woods

Question #34602
Point M(12, 18) is given in a rectangular plane. Which is the distance of this point from the pole?

A. 12.63
B. 18.36
C. 20.46
D. 21.63
Expert's answer
Since the pole in the polar coordinate system is the origin (the point (0,0)) in Cartesian coordinate system), the distance from the point M to the pole is the distance from the point M to the origin. To calculate the distance d from (0,0) to (12,18), use the formula d = sqrt (12 * 12 +18 * 18) = sqrt (468) = 21.63.
Answer: D. 21.63

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