a square plate of 50x50 pixels size placed at the origin of the x-y plane of a camera coordinate system is sheared vertically so that the point (49,0) moves to (49,10), and then rotated by 30 degrees. It is further translated horizontally by 15 pixels and vertically by 45 pixels. find the coordinates of the point (30,20) in the new image captured with a camera positioned exactly at the same position as in the capture of the original image. Note: cos30 degrees = 0.866, sin 30 degrees = 0.5