In two successive chess moves, a player first moves his queen four squares forward, then moves the queen three steps to the left (from the player’s view). Assume each square is 4.0 on a side.
To find the final position of the queen after two successive moves, we can start by determining the initial position and then calculating the new position after each move.
Let's assume that the initial position of the queen is at coordinates (x, y). Since the queen moves four squares forward, the new coordinates will be (x, y + 4).
Next, the queen moves three steps to the left, which means we subtract 3 from the x-coordinate. Therefore, the final coordinates after the two moves will be (x - 3, y + 4).
However, you mentioned that each square is 4.0 on a side. This means that the distance between two consecutive squares (both vertically and horizontally) is 4.0 units.
To determine the actual coordinates, we need to convert the distances to the appropriate units. Assuming the initial coordinates (x, y) are given in units of squares, the final coordinates after the two moves will be:
(x - 3) * 4.0 for the x-coordinate, and
(y + 4) * 4.0 for the y-coordinate.
Thus, the final position of the queen after two successive moves will be (x - 3) * 4.0, (y + 4) * 4.0.