Rotate the .9, five on a geometric figure 260° clockwise. What is the new point? Point
The given point is (0.9, 5).
To rotate a point in a coordinate plane, we can use the following formula:
x' = x * cos(θ) - y * sin(θ)
y' = x * sin(θ) + y * cos(θ)
where (x, y) represents the original point, (x', y') represents the new point after rotation, and θ represents the angle of rotation.
In this case, the angle of rotation is 260° clockwise. Remember that a positive degree of rotation indicates a counterclockwise rotation, so to rotate clockwise, we take the negative of the angle.
Let's substitute the values into the formula:
x' = 0.9 * cos(-260°) - 5 * sin(-260°)
y' = 0.9 * sin(-260°) + 5 * cos(-260°)
Using a calculator to evaluate the trigonometric functions and rounding to two decimal places, we get:
x' ≈ -0.36
y' ≈ -3.83
Therefore, the new point after rotating the original point (0.9, 5) 260° clockwise is approximately (-0.36, -3.83).