Question

3. Imagine for a moment you were standing

and looking towards the South direction.
Now do the following: turn 45 degree
clockwise, do a full turn clockwise, then
do a half turn counterclockwise, then a
quarter turn clockwise and finally oneeight of a turn counterclockwise. By how
many degrees would you have to turn
clockwise in order to be looking in the
North direction? Use drawings to justify
your answer.

Answer 1

To be looking in the North direction, you would have to turn 720 degrees clockwise.

Step-by-step explanation:

To find out by how many degrees you would have to turn clockwise to be looking in the North direction after following the given instructions, we can add up the total rotation.

Starting with facing South, a 45-degree clockwise turn brings us to the Southwest direction. A full turn clockwise brings us to the North direction. Then, a half turn counterclockwise brings us back to the South direction. A quarter turn clockwise brings us to the Southeast direction. Finally, a one-eighth turn counterclockwise brings us to the Southwest direction again.

Adding up the rotations: 45° + 360° + 180° + 90° + 45° = 720°.

Therefore, you would have to turn 720 degrees clockwise to be looking in the North direction.