an old treasure map has the following instructions stand next to the black rock and face west. Walk 20 yards and then turn 90 degrees clockwise. Walk another 10 yards and then turn 45 degrees anticlockwise. Walk another 15 yards, reverse your directions and walk 5 yards back. Turn 135 degrees clockwise and walk another 10 yards. In which direction are you now facing? ​

West.

Step-by-step explanation:

An old treasure map has the following instructions: stand next to the black rock and face west. Walk 20 yards and then turn 90 degrees clockwise. Walk another 10 yards and then turn 45 degrees anticlockwise. Walk another 15 yards, reverse your directions and walk 5 yards back. Turn 135 degrees clockwise and walk another 10 yards. To determine in which direction you are now facing, the following logical reasoning must be carried out:

You start by walking 20 yards west, then turning 90 degrees clockwise, turning south. Then you walk 10 yards and turn counterclockwise 45 degrees, to the southwest. Later, you walk another 15 yards, turn the direction to the northeast, and walk 5 more yards. From the northeast turn 135 degrees clockwise to the west and walk 10 yards. Thus, the final sense in which the person is walking is to the West.