The height of the door is 2250 mm and its width is 1000 mm. The door is opened by 40°. What is the angle formed by the diagonal of the door (i.e., the diagonal of the rectangle formed by the door) with itself in its initial and final positions?

Give the answer to the nearest degree.

A similar problem was in the section "Right Triangle," but now that vectors are mastered, this problem can be solved more efficiently using vectors.

It is recommended to choose the coordinate system so that the origin is at the bottom corner on the hinge side, the initial direction of the door is chosen as the direction of the X-axis, and the door opens in the Y-direction. Z is, of course, upwards.