(2,5) (5,2) (2,2) after the triangle is rotated 305 degrees clockwise

Answer 1

To rotate a point (x, y) by an angle A degrees clockwise, we can use the following formulas:

New x-coordinate = x * cos(A) - y * sin(A)
New y-coordinate = x * sin(A) + y * cos(A)

Given the coordinates (2, 5), (5, 2), and (2, 2), let's rotate each point 305 degrees clockwise:

For the point (2, 5):
New x-coordinate = 2 * cos(305) - 5 * sin(305)
≈ 1.318355
New y-coordinate = 2 * sin(305) + 5 * cos(305)
≈ 5.987886

So, the new coordinates for (2, 5) after rotating 305 degrees clockwise are approximately (1.318355, 5.987886).

For the point (5, 2):
New x-coordinate = 5 * cos(305) - 2 * sin(305)
≈ 4.012114
New y-coordinate = 5 * sin(305) + 2 * cos(305)
≈ -3.318012

So, the new coordinates for (5, 2) after rotating 305 degrees clockwise are approximately (4.012114, -3.318012).

For the point (2, 2):
New x-coordinate = 2 * cos(305) - 2 * sin(305)
≈ 1.080608
New y-coordinate = 2 * sin(305) + 2 * cos(305)
≈ -3.636025

So, the new coordinates for (2, 2) after rotating 305 degrees clockwise are approximately (1.080608, -3.636025).