Question

in a video game an object represented by the point is rotated counterclockwise 350 degrees about an origin. what are the new coordinates that represent the point? the new coordinates are , where

Answer 1

If the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).

Given that the point is (3,2) and the point is rotated counterclockwise 350 degrees about an origin.

We are required to find the new coordinates.

Origin is a point where both the values of x and y are equal to zero.

a=arc tan (2/3)=33.7

r=$\sqrt{3^{2} +2^{2} }$

=$\sqrt{13}$

b=a+350

=33.7+350

=383.7 degrees

x=r cos b=$\sqrt{13}$ cos 383.7=$\sqrt{13}$*0.91=3.28

y=r sin b=$\sqrt{13}$ sin 383.7=$\sqrt{13}$80.40=1.44

Hence if the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).

Learn more about coordinates at brainly.com/question/17206319

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