Question

Rotate the point (5, 8) on a geometric figure 270 degrees clockwise. What is the new point

Answer 1

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).