Rotating the point five, eight on a geometric figure 270° clockwise what is the new point
To rotate a point (x, y) by a certain angle θ clockwise, the rotated point can be obtained by using the following formulas:
x' = x*cos(θ) - y*sin(θ)
y' = x*sin(θ) + y*cos(θ)
Let's apply these formulas to the given point (5, 8) and an angle of 270° clockwise:
x' = 5*cos(270°) - 8*sin(270°)
y' = 5*sin(270°) + 8*cos(270°)
Now, let's calculate these values:
cos(270°) = 0
sin(270°) = -1
x' = 5*0 - 8*(-1)
= 0 + 8
= 8
y' = 5*(-1) + 8*0
= -5 + 0
= -5
Therefore, the new rotated point is (8, -5) after rotating the point (5, 8) 270° clockwise.