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=
=
b=a+350
=33.7+350
=383.7 degrees
x=r cos b=
cos 383.7=
*0.91=3.28
y=r sin b=
sin 383.7=
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).
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I’m not sure what your trying to ask
The Voyager will have traveled 42 miles because it’s moving at 14 miles an hour for three hours. using the same logic the Ballad will have traveled 57 miles. 42+57 is 99 so they are 99 miles apart.