Final answer:
After rotating a total of 370° clockwise from north, the person will be facing 10° east of north.
Step-by-step explanation:
The student is initially facing north. To determine the final direction the person is facing after moving 70° clockwise and then 300° clockwise, we add the two angles together to find the total rotation from the original direction: 70° + 300° = 370°. Since a full circle is 360°, this is the same as making a 360° rotation plus an additional 10°. Since 360° brings us back to north, an extra 10° clockwise will point us slightly to the east of north.
To determine the direction the person is facing after moving in a clockwise direction, we need to add the angles. The person starts facing north, which is 0°. Moving in a clockwise direction, we add 70° and 300° to get 370°. However, this value is larger than 360°, so we need to subtract 360° to find the equivalent angle within one complete revolution. 370° - 360° = 10°. Therefore, the person is presently facing 10° in the clockwise direction from north.
Therefore, after completing the rotation, the person will be facing 10° east of north.