Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point
To rotate a point 270 degrees clockwise, we can use the formula:
(x', y') = (x*cos(theta) - y*sin(theta), x*sin(theta) + y*cos(theta))
In this case, the original point is (5, 8). Substituting this into the formula using theta = 270 degrees (or 270 * (pi/180) in radians), we get:
(x', y') = (5*cos(270*(pi/180)) - 8*sin(270*(pi/180)), 5*sin(270*(pi/180)) + 8*cos(270*(pi/180)))
Evaluating the trigonometric functions, we find:
(x', y') = (-8, 5)
Therefore, the new point after rotating (5, 8) 270 degrees clockwise is (-8, 5).