Find the distance of the point from the origin, then find the measure of the angle in standard position whose terminal side contains the point with given point (6,-10)

Abdullah Knapp

Abdullah Knapp

Answered question

2022-12-27

Find the distance of the point from the origin, then find the measure of the angle in standard position whose terminal side contains the point with given point (6,-10)

Answer & Explanation

Makenzie Bowen

Makenzie Bowen

Beginner2022-12-28Added 8 answers

d=(x2x1)2+(y2y1)2.
d=(60)2+(-100)2=136=23411.7
use tan-1(|y||x|) and analyze the point.
tan-1(106)1.03 and since the point lies on the line, it is in Quadrant IV. The value of an angle in Quadrant IV is 2πα where α is the reference angle
The angle for this point = 5.25.

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