A counterclockwise rotation by an angle of 8450° is equivalent to a clockwise rotation between 0° and 360°. What is the value of this clockwise rotation?
A) 150°
B) 170°
C) 210°
D) 330°
E) None of the above.

Question

Quizplus · Accepted Answer

To find the equivalent clockwise rotation, we first reduce 8450° modulo 360° to find its equivalent in the range 0° to 360°. This is because every 360° rotation brings the object back to its original orientation. $$8450 \mod 360 = 130$$This means a counterclockwise rotation of 8450° is equivalent to a counterclockwise rotation of 130°. To find the equivalent clockwise rotation, we subtract this from 360°:$$360° - 130° = 230°$$Since 230° is not listed among the options, the correct choice is E) None of the above.

A Counterclockwise Rotation by an Angle of 8450° Is Equivalent