Question #e1c1e

1 Answer
May 19, 2017

M (-10, -3.6)

Explanation:

The point M (10, 0) is located on the horizontal axis Ox.
After rotation of #200^@# about the origin O, the terminal side OM will be in Quadrant 3, and will make with the Ox axis an angle t that equals to:
#t = 200 - 180 = 20^@#
The coordinates of the new point M are: -10 and y -->
#tan 20 = 0.36 = y/-10#
#y = (-10)(0.36) = -3.6 #

Coordinates of the new point M (-10, -3.6)